Commuting involutions and elementary abelian subgroups of simple groups
Group Theory
2020-12-17 v1 Representation Theory
Abstract
Motivated in part by representation theoretic questions, we prove that if G is a finite quasi-simple group, then there exists an elementary abelian subgroup of G that intersects every conjugacy class of involutions of G.
Cite
@article{arxiv.2012.08693,
title = {Commuting involutions and elementary abelian subgroups of simple groups},
author = {Robert M. Guralnick and Geoffrey R. Robinson},
journal= {arXiv preprint arXiv:2012.08693},
year = {2020}
}