CHARACTERS AND GENERATION OF SYLOW 2-SUBGROUPS

被引：7
|
作者：
Navarro, Gabriel [1 ]
Rizo, Noelia [1 ]
Fry, A. A. Schaeffer [2 ]
Vallejo, Carolina [3 ]
机构：
[1] Univ Valencia, Dept Matemat, Valencia 46100, Spain
[2] MSU Denver, Dept Math & Stat, Denver, CO 80217 USA
[3] Univ Carlos III Madrid, Dept Matemat, Edificio Sabatini,Av Univ 30, Madrid 28911, Spain
来源：
REPRESENTATION THEORY | 2021年 / 25卷
基金：
美国国家科学基金会;
关键词：
Sylow; 2-subgroups; character tables; principal blocks; Alperin-Galois-McKay conjecture; BLOCKS;
D O I：
10.1090/ert/555
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the character table of a finite group G determines whether a Sylow 2-subgroup of G is generated by 2 elements, in terms of the Galois action on characters. Our proof of this result requires the use of the Classification of Finite Simple Groups and provides new evidence for the so-far elusive Alperin-McKay-Navarro conjecture.
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页码：142 / 165
页数：24
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