Large subgroups in finite groups

Stefanos Aivazidis; Thomas W. Müller

doi:10.1016/j.crma.2018.01.020

paper

Large subgroups in finite groups

arXiv:1710.08226 · doi:10.1016/j.crma.2018.01.020

Abstract

Following Isaacs (see [Isa08, p. 94]), we call a normal subgroup N of a finite group G large, if $C_{G} (N) \leq N$ , so that N has bounded index in G. Our principal aim here is to establish some general results for systematically producing large subgroups in finite groups (see Theorems A and C). We also consider the more specialised problems of finding large (non-abelian) nilpotent as well as abelian subgroups in soluble groups.

References in corpus (1)

On residuals of finite groups