1. Commuting involutions and elementary abelian subgroups of simple groups
- Author
-
Geoffrey R. Robinson and Robert M. Guralnick
- Subjects
Pure mathematics ,Algebra and Number Theory ,Group (mathematics) ,Existential quantification ,010102 general mathematics ,Representation (systemics) ,Group Theory (math.GR) ,01 natural sciences ,20D06 (Primary_, 20C15 (Secondary) ,Mathematics::Group Theory ,Conjugacy class ,Simple group ,0103 physical sciences ,FOS: Mathematics ,010307 mathematical physics ,Representation Theory (math.RT) ,0101 mathematics ,Abelian group ,Mathematics - Group Theory ,Mathematics - Representation Theory ,Mathematics - 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 contains a member of each conjugacy class of involutions of G.
- Published
- 2022