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Inequalities for baer invariants of finite groups
(Canadian Mathematical Society, 1998-12-01)
In this note we further our investigation of Baer invariants of groups by obtaining, as consequences of an exact sequence of A. S.-T. Lue, some numerical inequalities for their orders, exponents, and generating sets. An ...
On the capability of groups
(Cambridge University Press (CUP), 1998-10-01)
We show how the third integral homology of a group plays a role in determining whether a given group is isomorphic to an inner automorphism group. Various necessary conditions, and sufficient conditions, for the existence ...
Tensor products of prime-power groups
(Elsevier BV, 1998-11-01)
On the schur multiplier of a quotient of a direct product of groups
(Cambridge University Press (CUP), 1998-12-01)
We use a nonabelian exterior product to strengthen two old and basic results on the Schur multiplier of a (central) quotient of a direct product of groups.