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Inequalities for Baer invariants of finite groups

Open Access article
 Printed: Dec 1998
  • John Burns
  • Graham Ellis
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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 show english descriptions Projective representations and multipliers 20C25 - Projective representations and multipliers

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