Inequalities for Baer Invariants of Finite Groups

Abstract

AbstractIn 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 |γc+1 (G)| given that G, Zc(G) is a finite p-group with prescribed order and number of generators.