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Inequalities for Baer invariants of finite groups |
Canad. Math. Bull. 41(1998), 385-391
Published:1998-12-01
Printed: Dec 1998
Printed: Dec 1998
- John Burns
- Graham Ellis
Abstract
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 interesting group theoretic
corollary is an explicit bound for $|\gamma_{c+1}(G)|$ given that
$G/Z_c(G)$ is a finite $p$-group with prescribed order and number
of generators.
| MSC Classifications: | 20C25 - Projective representations and multipliers |