Abelian supplements in almost simple groups
Group Theory
2025-01-29 v1
Abstract
Let be a finite almost simple group with socle . In this paper we prove that whenever is abelian, then there exists an abelian subgroup of such that . We propose a few applications of this structural property of almost simple groups.
Cite
@article{arxiv.2404.11059,
title = {Abelian supplements in almost simple groups},
author = {Mauro Costantini and Andrea Lucchini and Daniele Nemmi},
journal= {arXiv preprint arXiv:2404.11059},
year = {2025}
}