Large subgroups in finite groups
Group Theory
2019-06-18 v1
Abstract
Following Isaacs (see [Isa08, p. 94]), we call a normal subgroup N of a finite group G large, if , 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.
Cite
@article{arxiv.1710.08226,
title = {Large subgroups in finite groups},
author = {Stefanos Aivazidis and Thomas W. Müller},
journal= {arXiv preprint arXiv:1710.08226},
year = {2019}
}