Galois-equivariant McKay bijections for primes dividing q-1

被引：3

作者：

Schaeffer Fry, A. A. ^{[1
]}

机构：

[1] Metropolitan State Univ Denver, Dept Math & Stat, Denver, CO 80217 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2022年 / 247卷 / 01期

基金：

美国国家科学基金会;

关键词：

NORMALIZING SYLOW 2-SUBGROUPS; FINITE-GROUPS; ODD-DEGREE; CONJECTURE; REPRESENTATIONS; CHARACTERS; REDUCTION;

D O I：

10.1007/s11856-021-2266-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that for most groups of Lie type, the bijections used by Malle and Spath in the proof of Isaacs-Malle-Navarro's inductive McKay conditions for the prime 2 and odd primes dividing q - 1 are also equivariant with respect to certain Galois automorphisms. In particular, this shows that these bijections are candidates for proving Navarro-Spath-Vallejo's recently-posited inductive Galois-McKay conditions. On the way, we show that several simple groups of Lie type satisfy the McKay-Navarro conjecture for the prime 2.

引用

页码：269 / 302

页数：34

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