Cuspidal characters and automorphisms

被引：11

作者：

Malle, Gunter ^{[1
]}

机构：

[1] TU Kaiserslautern, FB Math, Postfach 3049, D-67653 Kaiserslautern, Germany

来源：

ADVANCES IN MATHEMATICS | 2017年 / 320卷

基金：

欧洲研究理事会;

关键词：

McKay conjecture; Automorphisms; Action on cuspidal characters; INDUCTIVE MCKAY CONDITION; UNIPOTENT CHARACTERS; REDUCTIVE GROUPS; BRAUER TREES;

D O I：

10.1016/j.aim.2017.09.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：887 / 903

页数：17

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