Groups whose set of vanishing elements is the union of at most three conjugacy classe

被引：3

作者：

Robati, Sajjad Mahmood ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin, Iran

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2019年 / 26卷 / 01期

关键词：

Finite groups; vanishing elements; conjugacy classes;

D O I：

10.36045/bbms/1553047230

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. We say that an element g in G is a vanishing element if there exists some irreducible character chi of G such that chi(g) = 0. In this paper, we prove that if the set of vanishing elements of G is the union of at most three conjugacy classes, then G is solvable.

引用

页码：85 / 89

页数：5

共 26 条

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[26] Finite groups with four class sizes of elements of order divisible by at most three distinct primes
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