{ "id": "1702.08012", "version": "v1", "published": "2017-02-26T09:47:08.000Z", "updated": "2017-02-26T09:47:08.000Z", "title": "Cuspidal characters and automorphisms", "authors": [ "Gunter Malle" ], "categories": [ "math.RT", "math.GR" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-02-26T09:47:08.000Z" } ], "analyses": { "subjects": [ "20C15", "20C33", "20G40" ], "keywords": [ "cuspidal characters", "finite groups", "simple groups", "outer automorphisms", "definite result" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }