Cuspidal characters and automorphisms

2017/02/26 by Malle, Gunter
#20C15 #20C33 #20G40 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1702.08012

Abstract

We investigate the action of outer automorphisms of finite groups of Lie type on their irreducible characters. We obtain a definite result for cuspidal characters. As an application we verify the inductive McKay condition for some further infinite families of simple groups at certain primes.

Related

• Extensions of characters in type D and the inductive McKay condition, II
• Extensions of characters in type D and the inductive McKay condition, I
• Action of automorphisms on irreducible characters of groups of type \textsfA
• Inductive McKay condition for finite simple groups of type C
• Equivariant character correspondences and inductive McKay condition for type A