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# Inequalities for Baer invariants of finite groups

Published:1998-12-01
Printed: Dec 1998
• John Burns
• Graham Ellis
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## 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