francesco de giovanni | Università degli Studi di Napoli "Federico II" (original) (raw)
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Rendiconti del Circolo Matematico di Palermo, 1982
Ricerche di Matematica, 2013
Monatshefte f�r Mathematik, 1991
Groups are classified whose automorphism group is minimal non-nilpotent.
Geometriae Dedicata, 1991
Communications in Algebra, 1986
Archiv der Mathematik, 1988
1. Introduction. In Kegel considered finite groups G = A B = A C = B C which are the product of t... more 1. Introduction. In Kegel considered finite groups G = A B = A C = B C which are the product of three subgroups A, B, C where A and B are nilpotent. He showed that G is nilpotent or supersoluble, if C is nilpotent or supersoluble, respectively; see also Pennington [7]. In the following we extend these results to soluble-by-finite minimax groups. Recall that a soluble-by-finite group G is a minimax group if it has a series of finite length whose factors are finite or infinite cyclic or quasicyclic of type p~. The number m (G) of infinite factors in such a series is called the minimax rank of G.
Rendiconti del Circolo Matematico di Palermo, 1982
Ricerche di Matematica, 2013
Monatshefte f�r Mathematik, 1991
Groups are classified whose automorphism group is minimal non-nilpotent.
Geometriae Dedicata, 1991
Communications in Algebra, 1986
Archiv der Mathematik, 1988
1. Introduction. In Kegel considered finite groups G = A B = A C = B C which are the product of t... more 1. Introduction. In Kegel considered finite groups G = A B = A C = B C which are the product of three subgroups A, B, C where A and B are nilpotent. He showed that G is nilpotent or supersoluble, if C is nilpotent or supersoluble, respectively; see also Pennington [7]. In the following we extend these results to soluble-by-finite minimax groups. Recall that a soluble-by-finite group G is a minimax group if it has a series of finite length whose factors are finite or infinite cyclic or quasicyclic of type p~. The number m (G) of infinite factors in such a series is called the minimax rank of G.