Counting characters in linear group actions

被引：2
|
作者：
Keller, Thomas Michael [1 ]
机构：
[1] SW Texas State Univ, Dept Math, San Marcos, TX 78666 USA
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2009年 / 171卷 / 01期
关键词：
Conjugacy Class; Generalize Character; Prime Order; Irreducible Character; Short Proof;
D O I：
10.1007/s11856-009-0054-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a finite group and V be a finite G-module. We present upper bounds for the cardinalities of certain subsets of Irr(GV), such as the set of those chi a Irr(GV) such that, for a fixed v a V, the restriction of chi to aOE (c) v > is not a multiple of the regular character of aOE (c) v >. These results might be useful in attacking the noncoprime k(GV)-problem.
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页码：367 / 384
页数：18
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