English

Cuspidal characters and automorphisms

Representation Theory 2017-09-13 v2 Group Theory

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.

Keywords

Cite

@article{arxiv.1702.08012,
  title  = {Cuspidal characters and automorphisms},
  author = {Gunter Malle},
  journal= {arXiv preprint arXiv:1702.08012},
  year   = {2017}
}

Comments

Revised version, to appear in Advances Math

R2 v1 2026-06-22T18:28:41.035Z