Commuting involutions and elementary abelian subgroups of simple groups

2020/12/16 by Robert M. Guralnick, Guralnick, Robert M., Geoffrey R. Robinson +1
Mathematics · #20C15 (Secondary) #20D06 (Primary_ #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT #msc:20C15 #msc:20D06

paper · pdf · doi:10.48550/arxiv.2012.08693

arxiv created 2020/12/16 · arxiv updated 2020/12/17

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.

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