Real groups and Sylow 2-subgroups

被引：9
作者：
Navarro, Gabriel [1 ]
Tiep, Pham Huu [2 ]
机构：
[1] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain
[2] Univ Arizona, Dept Math, Tucson, AZ 85721 USA
来源：
ADVANCES IN MATHEMATICS | 2016年 / 299卷
基金：
美国国家科学基金会;
关键词：
Real groups; Real characters; Sylow; 2-subgroups; IRREDUCIBLE CHARACTERS; FINITE; REPRESENTATIONS; CONJECTURE; SUBGROUPS; BLOCKS;
D O I：
10.1016/j.aim.2016.05.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If G is a finite real group and P is an element of Syl(2)(G), then P/P' is elementary abelian. This confirms a conjecture of Roderick Gow. In fact, we prove a much stronger result that implies Gow's conjecture. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：331 / 360
页数：30
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