Endotrivial Modules for the Schur Covers of the Symmetric and Alternating Groups

被引：5
|
作者：
Lassueur, Caroline [1 ]
Mazza, Nadia [2 ]
机构：
[1] TU Kaiserslautern, FB Math, D-67653 Kaiserslautern, Germany
[2] Univ Lancaster, Dept Math & Stat, Lancaster LA1 4YF, England
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2015年 / 18卷 / 05期
基金：
瑞士国家科学基金会;
关键词：
Endotrivial modules; Schur covers; Alternating and symmetric groups; ELEMENTARY ABELIAN SUBGROUPS;
D O I：
10.1007/s10468-015-9542-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the endotrivial modules for the Schur covers of the symmetric and alternating groups and determine the structure of their group of endotrivial modules in all characteristics. We provide a full description of this group by generators and relations in all cases.
引用
收藏
页码：1321 / 1335
页数：15
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