Non-vanishing elements in finite groups

被引：8

作者：

Brough, Julian ^{[1
]}

机构：

[1] TU Kaiserslautern, FB Math, Postfach 3049, D-67653 Kaiserslautern, Germany

来源：

JOURNAL OF ALGEBRA | 2016年 / 460卷

关键词：

Finite groups; Characters; Non-vanishing elements;

D O I：

10.1016/j.jalgebra.2016.05.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Many results have been established about determining whether or not an element evaluates to zero on an irreducible character of a group. hi this note it is shown that if a group G has a normal p-subgroup N, and x is an element of N lies in the centre of a Sylow p-subgroup of G, then no irreducible character of G vanishes on x. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：387 / 391

页数：5

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