Finite group elements where no irreducible character vanishes

被引：77

作者：

Isaacs, IM ^{[1
]}

Navarro, G

Wolf, TR

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Univ Valencia, Fac Matemat, Dept Algebra, E-46100 Valencia, Spain

[3] Ohio Univ, Dept Math, Athens, OH 45701 USA

来源：

JOURNAL OF ALGEBRA | 1999年 / 222卷 / 02期

关键词：

D O I：

10.1006/jabr.1999.8007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider elements x of a finite group G with the property that chi(x) not equal 0 for all irreducible characters chi of G. If G is solvable and x has odd order, we show that x must lie in the Fitting subgroup F(G). (C) 1999 Academic Press.

引用

页码：413 / 423

页数：11

共 5 条

[1]

Conway J., 1985, ATLAS FINITE GROUPS

[2]

Isaacs I.M., 1994, CHARACTER THEORY FIN

[3] Large orbits in actions of nilpotent groups [J].