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.

引用

页码：367 / 384

页数：18

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