Inequalities for baer invariants of finite groups
Burns, John ; Ellis, Graham
Burns, John
Ellis, Graham
Citation
Burns, John; Ellis, Graham (1998). Inequalities for baer invariants of finite groups . Bulletin canadien de mathématiques 41 (4), 385-391
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.
Funder
Publisher
Canadian Mathematical Society
Publisher DOI
10.4153/cmb-1998-051-3
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland