A REDUCTION THEOREM FOR THE GALOIS-MCKAY CONJECTURE

被引：14

作者：

Navarro, Gabriel ^{[1
]}

Spaeth, Britta ^{[2
]}

Vallejo, Carolina ^{[3
]}

机构：

[1] Univ Valencia, Dept Matemat, Valencia 46100, Spain

[2] BU Wuppertal, Gaussstr 20, D-42119 Wuppertal, Germany

[3] Univ Autonoma Madrid, Dept Matemat, Campus Cantoblanco, Madrid 28049, Spain

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 09期

基金：

美国国家科学基金会;

关键词：

Galois action on characters; Galois-McKay conjecture; reduction theorem; REPRESENTATIONS;

D O I：

10.1090/tran/8111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce H-triples and a partial order relation on them, generalizing the theory of ordering character triples developed by Navarro and Spath. This generalization takes into account the action of Galois automorphisms on characters and, together with previous results of Ladisch and Turull, allows us to reduce the Galois-McKay conjecture to a question about simple groups.

引用

页码：6157 / 6183

页数：27

共 25 条

[1] ON THE REPRESENTATION OF A GROUP OF ORDER-G IN THE FIELD OF THE G-TH ROOTS OF UNITY [J].