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.
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页码：45 / 66
页数：22
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