Irreducible products of characters of solvable groups

被引：1

作者：

Fukushima, Hiroshi ^{[1
]}

机构：

[1] Gunma Univ, Dept Math, Fac Educ, Gunma 3718510, Japan

来源：

JOURNAL OF ALGEBRA | 2009年 / 321卷 / 01期

关键词：

Group theory; Representation of finite groups; Characters of solvable groups;

D O I：

10.1016/j.jalgebra.2008.09.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Isaacs conjectured that if G is solvable and alpha and beta are faithful characters of G such that alpha beta is irreducible, then G is cyclic. In this paper, we shall prove that the conjecture holds if either G is an M-group or G has Fitting height at most 4. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：312 / 315

页数：4

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