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

页码：1321 / 1335

页数：15

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