Finite groups and degrees of irreducible monomial characters

被引：11

作者：

Pang, Linna ^{[1
]}

Lu, Jiakuan ^{[1
]}

机构：

[1] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Solvable groups; irreducible monomial characters;

D O I：

10.1142/S0219498816500730

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite solvable group, let Irr(m)(G) be the set of all irreducible monomial characters of G and let p be a prime. We prove that if p vertical bar chi(1) for every nonlinear chi is an element of Irr(m)(G), then G has a normal p-complement, and if p is relatively prime to chi(1) for every chi is an element of Irr(m)(G), then G has a normal Sylow p-subgroup.

引用

页数：4