Search
Now showing items 1-8 of 8
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 ...
Capability, homology, and central series of a pair of groups
(Elsevier BV, 1996-01-01)
Tensor products of prime-power groups
(Elsevier BV, 1998-11-01)
Spaces with finitely many non-trivial homotopy groups all of which are finite
(Elsevier BV, 1997-03-01)
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.
A bound on the schur multiplier of a prime-power group
(Cambridge University Press (CUP), 1999-10-01)
The paper improves on an upper bound for the order of the Schur multiplier of a finite p-group given by Wiegold in 1969. The new bound is applied to the problem of classifying p-groups according to the size of their Schur ...