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Papers by Gervasio Gurgel Bastos

Rendiconti del Seminario Matematico della Università di Padova, 1990

Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http:... more Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/

Boletim da Sociedade Brasileira de Matemática, Sep 1, 1972

Canadian mathematical bulletin, Jun 1, 1988

Anderson and Ohm have introduced valuations of monoid rings k[T] where k is a field and T a cance... more Anderson and Ohm have introduced valuations of monoid rings k[T] where k is a field and T a cancellative torsion-free commutative monoid. We study the residue class fields in question and solve a problem concerning the pure transcendence of the residue fields.

BASTOS, Gervasio Gurgel. A characterizations of complete subfields of a complete valuated field. ... more BASTOS, Gervasio Gurgel. A characterizations of complete subfields of a complete valuated field. Boletim da Sociedade Brasileira de Matematica,Rio de Janeiro, v. 6, p. 53-56, jan. 1975.

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1974

Anais Da Academia Brasileira De Ciencias, 1980

Dissertação (Mestrado)--Universidade Federal do Ceará; 15/12/1997.

Journal of Algebra and Its Applications, 2007

We classify the abelian groups G, for which the following property holds: for every subgroup H, e... more We classify the abelian groups G, for which the following property holds: for every subgroup H, every ϕ ∈ Aut (H) has an extension ψ ∈ Aut (G). We also classify the infinite polycyclic-by-finite groups and the finite nilpotent 2′-groups having this property. Fuchs, Bertholf, Walls and Tomkinson did similar work for groups which have the property that homomorphisms of its subgroups extend to the whole group.

Bolema: Boletim de Educação …, 2006

Boletim da Sociedade Brasileira de Matemática, 1975

JP Journal of Algebra, …, 2008

... COMPOSITIONS VERSUS CYCLIC COMPOSITIONS. Author: Rodrigo A. Pérez Page: 41 - 48 Abstract | Re... more ... COMPOSITIONS VERSUS CYCLIC COMPOSITIONS. Author: Rodrigo A. Pérez Page: 41 - 48 Abstract | References | Download PDF (156.21K) | Add to my cart. MAHLER MEASURE AND INTEGRALS OF HYPERGEOMETRIC FUNCTIONS. ...

Glasgow Mathematical Journal, 2012

Let G be a group such that, for any subgroup H of G, every automorphism of H can be extended to a... more Let G be a group such that, for any subgroup H of G, every automorphism of H can be extended to an automorphism of G. Such a group G is said to be of injective type. The finite abelian groups of injective type are precisely the quasi-injective groups. We prove that a finite non-abelian group G of injective type has even order. If, furthermore, G is also quasi-injective, then we prove that G = K × B, with B a quasi-injective abelian group of odd order and either K = Q 8 (the quaternion group of order 8) or K = Dih(A), a dihedral group on a quasi-injective abelian group A of odd order coprime with the order of B. We give a description of the supersoluble finite groups of injective type whose Sylow 2-subgroup are abelian showing that these groups are, in general, not quasi-injective. In particular, the characterisation of such groups is reduced to that of finite 2-groups that are of injective type. We give several restrictions on the latter. We also show that the alternating group A 5 is of injective type but that the binary icosahedral group SL(2, 5) is not.

In 1981, Beukers used a hypergeometric method for proving that the well-known generalized Ramanuj... more In 1981, Beukers used a hypergeometric method for proving that the well-known generalized Ramanujan-Nagell equation

Abh Math Sem Univ Hamburg, 1974

Anais da Academia Brasileira de Ciências

Manuscr Math, 1978

... K iff MIK preserves p-independence (ie Xl,...,xm 6 KP-~are p-independent over are p-independe... more ... K iff MIK preserves p-independence (ie Xl,...,xm 6 KP-~are p-independent over are p-independent over M) So, we ~e% im-K = Xl,... ,xm mediately from Theorem i: COROLLARY If uvg(K) is finite then urn(K) : uvg(K) iff KIK is separable. 2. Separable completions Now let LIK be a ...

Rendiconti del Seminario Matematico della Università di Padova, 1990

Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http:... more Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/

Boletim da Sociedade Brasileira de Matemática, Sep 1, 1972

Canadian mathematical bulletin, Jun 1, 1988

Anderson and Ohm have introduced valuations of monoid rings k[T] where k is a field and T a cance... more Anderson and Ohm have introduced valuations of monoid rings k[T] where k is a field and T a cancellative torsion-free commutative monoid. We study the residue class fields in question and solve a problem concerning the pure transcendence of the residue fields.

BASTOS, Gervasio Gurgel. A characterizations of complete subfields of a complete valuated field. ... more BASTOS, Gervasio Gurgel. A characterizations of complete subfields of a complete valuated field. Boletim da Sociedade Brasileira de Matematica,Rio de Janeiro, v. 6, p. 53-56, jan. 1975.

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1974

Anais Da Academia Brasileira De Ciencias, 1980

Dissertação (Mestrado)--Universidade Federal do Ceará; 15/12/1997.

Journal of Algebra and Its Applications, 2007

We classify the abelian groups G, for which the following property holds: for every subgroup H, e... more We classify the abelian groups G, for which the following property holds: for every subgroup H, every ϕ ∈ Aut (H) has an extension ψ ∈ Aut (G). We also classify the infinite polycyclic-by-finite groups and the finite nilpotent 2′-groups having this property. Fuchs, Bertholf, Walls and Tomkinson did similar work for groups which have the property that homomorphisms of its subgroups extend to the whole group.

Bolema: Boletim de Educação …, 2006

Boletim da Sociedade Brasileira de Matemática, 1975

JP Journal of Algebra, …, 2008

... COMPOSITIONS VERSUS CYCLIC COMPOSITIONS. Author: Rodrigo A. Pérez Page: 41 - 48 Abstract | Re... more ... COMPOSITIONS VERSUS CYCLIC COMPOSITIONS. Author: Rodrigo A. Pérez Page: 41 - 48 Abstract | References | Download PDF (156.21K) | Add to my cart. MAHLER MEASURE AND INTEGRALS OF HYPERGEOMETRIC FUNCTIONS. ...

Glasgow Mathematical Journal, 2012

Let G be a group such that, for any subgroup H of G, every automorphism of H can be extended to a... more Let G be a group such that, for any subgroup H of G, every automorphism of H can be extended to an automorphism of G. Such a group G is said to be of injective type. The finite abelian groups of injective type are precisely the quasi-injective groups. We prove that a finite non-abelian group G of injective type has even order. If, furthermore, G is also quasi-injective, then we prove that G = K × B, with B a quasi-injective abelian group of odd order and either K = Q 8 (the quaternion group of order 8) or K = Dih(A), a dihedral group on a quasi-injective abelian group A of odd order coprime with the order of B. We give a description of the supersoluble finite groups of injective type whose Sylow 2-subgroup are abelian showing that these groups are, in general, not quasi-injective. In particular, the characterisation of such groups is reduced to that of finite 2-groups that are of injective type. We give several restrictions on the latter. We also show that the alternating group A 5 is of injective type but that the binary icosahedral group SL(2, 5) is not.

In 1981, Beukers used a hypergeometric method for proving that the well-known generalized Ramanuj... more In 1981, Beukers used a hypergeometric method for proving that the well-known generalized Ramanujan-Nagell equation

Abh Math Sem Univ Hamburg, 1974

Anais da Academia Brasileira de Ciências

Manuscr Math, 1978

... K iff MIK preserves p-independence (ie Xl,...,xm 6 KP-~are p-independent over are p-independe... more ... K iff MIK preserves p-independence (ie Xl,...,xm 6 KP-~are p-independent over are p-independent over M) So, we ~e% im-K = Xl,... ,xm mediately from Theorem i: COROLLARY If uvg(K) is finite then urn(K) : uvg(K) iff KIK is separable. 2. Separable completions Now let LIK be a ...