ENDOTRIVIAL MODULES FOR THE SYMMETRIC AND ALTERNATING GROUPS

被引：19

作者：

Carlson, Jon F. ^{[1
]}

Mazza, Nadia ^{[2
]}

Nakano, Daniel K. ^{[1
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

[2] Univ Aberdeen, Dept Math Sci, Aberdeen AB24 3UE, Scotland

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2009年 / 52卷

关键词：

endotrivial modules; Young modules; symmetric groups; alternating groups; ENDO-PERMUTATION MODULES; YOUNG MODULES; P-GROUP;

D O I：

10.1017/S0013091506001179

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we determine the group of endotrivial modules for certain symmetric and alternating groups in characteristic p. If p = 2, then the group is generated by the class of Omega(n) (k) except in a few low degrees. If p > 2, then the group is only determined for degrees less than p(2). In these cases we show that there are several Young modules which are endotrivial.

引用

页码：45 / 66

页数：22

共 22 条

[1] A construction of endo-permutation modules [J].