�. �. �����, �. �. ���������, “� ����� ����� �������”, ���. �� ����. ���. �����., 28:2 (1964), 261–272 (original) (raw)

�������� �������� ���� ����. ����� ��������������

| ����� ���������� ��������� ������ ����� � ������� ����� ������-������ ������� ��� ������� ��������� �������� ����� ���������� ����� ������ RSS ��������� ������ ������� ������� �������� ������� ��� ����� RSS ���. ���. ���. �����.: ���: ���: ������: ��������: ����� ������������ ����: �����: ������: ��������� ������ ����� ������ ������? ����������� Powered by MathJax | ��� ���������� ���������� � 30 ������� ������� (����� � 31 �������) � ����� ����� ������� �. �. �����, �. �. ��������� ���������: � ������ ������������ ������������� ����������� ��������������� ���������� ����� �������������� ����� � �����, ������� �� ����� ���� ������� � ������������. ��������� � ��������: 19.12.1963 ������������ ���� ������: ������� �����������: �. �. �����, �. �. ���������, “� ����� ����� �������”, ���. �� ����. ���. �����., 28:2 (1964), 261–272 ����������� � ������� AMSBIB \RBibitem{GolSha64}\by �.~�.~�����, �.~�.~���������\paper �~����� ����� �������\jour ���. �� ����. ���. �����.\yr 1964\vol 28\issue 2\pages 261--272\mathnet{http://mi.mathnet.ru/im2955}\\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=161852}\\zmath{https://zbmath.org/?q=an:0136.02602} **������� ������ �� ��� ��������:**https://www.mathnet.ru/rus/im2955 https://www.mathnet.ru/rus/im/v28/i2/p261 ��� ���������� ���������� � ��������� ������x: �. �. ������, “����� ������ ������� ���� � ������������ ������������ ���������� � ��� ����������”, ���. �� ����. ���. �����., 35:6 (1971), 1189–1207 mathnet mathscinet zmath; A. F. Lavrik, “A method for estimating double sums with real quadratic character, and applications”, Math. USSR-Izv., 5:6 (1971), 1195–1214 crossref �. �. ���������, “� ��������� ������� ��������� ���-$p$-�����”, ���. �� ����. ���. �����., 39:4 (1975), 707–738 mathnet mathscinet zmath; I. V. Andozhskii, “On some classes of closed pro-$p$-groups”, Math. USSR-Izv., 9:4 (1975), 663–691 crossref �. �. ���������, “������� ����� �������-����������� ����� � ������ ������������ �������”, ���. �� ����. ���. �����., 48:5 (1984), 939–985 mathnet mathscinet zmath; R. I. Grigorchuk, “Degrees of growth of finitely generated groups, and the theory of invariant means”, Math. USSR-Izv., 25:2 (1985), 259–300 crossref �. �. ���������, �. �. �������, “������������� ���-$p$-������ ����� 333 � ��������� ���-$p$-������ ���� (3,4)(3,4)(3,4)”, ���. �� ����. ���. �����., 49:6 (1985), 1322–1328 mathnet mathscinet zmath; I. V. Andozhskii, V. M. Tsvetkov, “Analytic pro-$p$-groups of rank 333 and closed pro-$p$-groups of type (3,4)(3,4)(3,4)”, Math. USSR-Izv., 27:3 (1986), 593–599 crossref �. �. ���������, “� ���� ���������–�������� �������������� ������, ��������������� � ��������”, �����. ��., 180:2 (1989), 207–225 mathnet mathscinet zmath; R. I. Grigorchuk, “On the Hilbert–Poincaré series of graded algebras associated with groups”, Math. USSR-Sb., 66:1 (1990), 211–229 crossref isi �. �. �����������, “� ����� �������������� ������ � ��������� ������ ������������ �����������”, ���, 48:3(291) (1993), 199–200 mathnet mathscinet zmath adsnasa; D. I. Piotkovskii, “On the growth of graded algebras with a small number of defining relations”, Russian Math. Surveys, 48:3 (1993), 211–212 crossref isi �. �. ���������, “������� �����, �������������� ������� � �������� ��������������”, �����. �������, 58:5 (1995), 653–668 mathnet mathscinet zmath �. �. �����, “��������������� ������ ����������� � ��������� ��������� ����������”, ���, 52:4(316) (1997), 201–202 mathnet crossref mathscinet zmath adsnasa; E. S. Golod, “Non-commutative complete intersections and the homology of a Shafarevich complex”, Russian Math. Surveys, 52:4 (1997), 830–831 crossref isi �. �. ������������, “� ����� ��������� � ������������ � ��������”, ���, 53:6(324) (1998), 257–258 mathnet crossref mathscinet zmath adsnasa; D. I. Piontkovskii, “Hilbert series and their relations in algebras”, Russian Math. Surveys, 53:6 (1998), 1360–1361 crossref isi �. �. ������������, “� ����� ��������� � ���������� PI-������”, �����. ��., 189:11 (1998), 103–120 mathnet crossref mathscinet zmath; D. I. Piontkovskii, “On Hilbert series and the homology of PI-algebras”, Sb. Math., 189:11 (1998), 1685–1700 crossref isi �. �. ������������, “���� ��������� � ����������� � ��������”, ���. ���. ���. �����., 64:6 (2000), 205–219 mathnet crossref mathscinet zmath; D. I. Piontkovskii, “Hilbert series and relations in algebras”, Izv. Math., 64:6 (2000), 1297–1311 crossref isi �. �. ������������, “� �������������� �������� ���������� ����������� 3”, ���. ���. ���. �����., 65:3 (2001), 139–152 mathnet crossref mathscinet zmath; D. I. Piontkovskii, “On graded algebras of global dimension 3”, Izv. Math., 65:3 (2001), 557–568 crossref elib M. A. Tsfasman, S. G. Vlăduţ, “Infinite global fields and the generalized Brauer–Siegel theorem”, Mosc. Math. J., 2:2 (2002), 329–402 mathnet crossref mathscinet zmath elib �. �. ������������, “� ��������������� �������������� �������� ��”, ���, 58:1(349) (2003), 193–194 mathnet crossref mathscinet zmath adsnasa; D. I. Piontkovskii, “On differential graded Lie algebras”, Russian Math. Surveys, 58:1 (2003), 189–190 crossref isi elib H. Koch, “The History of Algebraic Number Theory and Its Reflection at the International Congresses of Mathematicians”, ������ �����, ������� � �������������� ���������, ������� ������. � 80-����� �� ��� �������� ��������� ����� �������������� ����������, ����� ����, 241, �����, ���� ������/��������������, �., 2003, 110–121 mathnet mathscinet zmath; Proc. Steklov Inst. Math., 241 (2003), 98–109 �. �������, “����-������� � ����������� ������”, ���������. � �����. �����., 11:3 (2005), 189–200 mathnet mathscinet zmath elib; L. Hammoudi, “Nil-algebras and infinite groups”, J. Math. Sci., 144:2 (2007), 4004–4012 crossref �. �. ������������, “� �������� ������ � ������������� ������”, ���������. � �����. �����., 14:5 (2008), 171–184 mathnet mathscinet elib; D. I. Piontkovski, “On the Kurosh problem in varieties of algebras”, J. Math. Sci., 163:6 (2009), 743–750 crossref elib �. �������, �. �������, “PI-������ � PI-������������� �����”, ���������. � �����. �����., 14:7 (2008), 3–13 mathnet mathscinet elib; E. Aladova, B. Plotkin, “PI-groups and PI-representations of groups”, J. Math. Sci., 164:2 (2010), 155–162 crossref �. �. �������, �. �. �����, “�������� ������, ��� ������������ ��������� ������� �������”, �����. ��., 15:2 (2012), 105–126 mathnet mathscinet elib; N. V. Maslova, D. O. Revin, “Finite groups whose maximal subgroups have the Hall property”, Siberian Adv. Math., 23:3 (2013), 196–209 crossref �. �. ���������, �. ��������, “� ������� ���������� ����������� ���������� ������������ ���������”, ������� � ������, 51:5 (2012), 652–667 mathnet mathscinet zmath; D. R. Hirschfeldt, B. Khoussainov, “Finitely presented expansions of computably enumerable semigroups”, Algebra and Logic, 51:5 (2012), 435–444 crossref isi Ershov M., “Golod-Shafarevich Groups: a Survey”, Int. J. Algebr. Comput., 22:5 (2012), 1230001 crossref isi �. �. ����������, “�������� ������� ���������� ����������� �������� ������ ������”, �������. �����., 25:4 (2013), 3–12 mathnet crossref mathscinet elib; A. V. Timofeenko, “Finite systems of generators of infinite subgroups of the Golod group”, Discrete Math. Appl., 23:5-6 (2013), 491–501 crossref Belolipetsky M., Linowitz B., “On Fields of Definition of Arithmetic Kleinian Reflection Groups II”, Int. Math. Res. Notices, 2014, no. 9, 2559–2571 crossref isi �. �. ������, �. �. ������, “������� ���������������� �������������� �������� ������, �� ��������� � ������ ������������”, �����. �������, 98:3 (2015), 372–377 mathnet crossref mathscinet elib; A. A. Klyachko, A. K. Mongush, “Residually Finite Algorithmically Finite Groups, Their Subgroups and Direct Products”, Math. Notes, 98:3 (2015), 414–418 crossref isi �. �. ���������, �. �. ���������, �. �. �������, �. �. �������, �. �. �������, �. �. �������, �. �. �������, �. �. ����������, �. �. �����, �. �. ������, �. �. ������������, “������� ����������� ����� (��������)”, ���, 74:5(449) (2019), 163–169 mathnet crossref mathscinet zmath adsnasa; V. A. Artamonov, V. M. Buchstaber, È. B. Vinberg, L. V. Kuz'min, V. S. Kulikov, V. N. Latyshev, A. V. Mikhalev, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, “Evgenii Solomonovich Golod (obituary)”, Russian Math. Surveys, 74:5 (2019), 927–933 crossref isi �. �. ��������, “������ ����������� ������� ����������� ���������� ������”, �������, ������ ����� � �������������� ���������, ������� ������. ����������� ������ ��������� ����� �������������� ����������, ����� ����, 307, ����, �., 2019, 142–147 mathnet crossref mathscinet; Roman V. Mikhailov, “An Example of a Fractal Finitely Generated Solvable Group”, Proc. Steklov Inst. Math., 307 (2019), 125–129 crossref isi elib �. �. ����������, ���. �. �������, �. �. ������, �. �. �����, “����� ������������� ��������� � ��� �������������� ��������”, �������, ������ ����� � �������������� ���������, ������� ������. ����������� ������ ��������� ����� �������������� ����������, ����� ����, 307, ����, �., 2019, 9–31 mathnet crossref mathscinet; S. O. Gorchinskiy, Vik. S. Kulikov, A. N. Parshin, V. L. Popov, “Igor Rostislavovich Shafarevich and His Mathematical Heritage”, Proc. Steklov Inst. Math., 307 (2019), 1–21 crossref isi elib Damron M., Gravner J., Junge M., Lyu H., Sivakoff D., “Parking on Transitive Unimodular Graphs”, Ann. Appl. Probab., 29:4 (2019), 2089–2113 crossref isi �. �. ������-��������, �. �. ������-�����, “������� ������������ ��������������: ��������� � ����������� ��������������”, ���. ���. ���. �����., 85:6 (2021), 126–163 mathnet crossref adsnasa; I. A. Ivanov-Pogodaev, A. Ya. Kanel-Belov, “Finitely presented nilsemigroups: complexes with the property of uniform ellipticity”, Izv. Math., 85:6 (2021), 1146–1180 crossref isi �. �. ����������, “������������� ����, �������������� � ���������� �����”, ����������� ��., 22:2 (2021), 202–235 mathnet crossref �. �. ������-��������, “���������� ����� �� ��������� ���������� ������������� ����������”, �����. ������ � ��� ����., 57:2 (2023), 41–74 mathnet crossref; I. A. Ivanov-Pogodaev, “A semigroup of paths on a sequence of uniformly elliptic complexes”, Funct. Anal. Appl., 57:2 (2023), 117–142 crossref | �������� �������� ���� ����. ����� �������������� ���������� ����������: �������� ���������:2321PDF ������� ������:1141������ ��������:6 | | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ |

| | | | -------------------------------------------- |