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Inequalities for Baer Invariants of Finite Groups

Published online by Cambridge University Press:  20 November 2018

John Burns  and
Graham Ellis
John Burns
Affiliation:
Mathematics Department University College Galway Galway Ireland, email: graham.ellis@ucg.ie
Graham Ellis
Affiliation:
Mathematics Department University College Galway Galway Ireland, email: graham.ellis@ucg.ie
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Abstract

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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.

Keywords

20C25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 4 , 01 December 1998 , pp. 385 - 391
Copyright
Copyright © Canadian Mathematical Society 1998

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