Groups whose vanishing class sizes are p-powers

被引：1

作者：

Robati, Sajjad Mahmood ^{[1
]}

Hafezieh, Roghayeh ^{[2
]}

机构：

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

[2] Gebze Tech Univ, Dept Math, Gebze, Turkiye

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 07期

关键词：

Finite groups; irreducible characters; prime powers; vanishing class; ELEMENTS;

D O I：

10.1080/00927872.2023.2175841

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a finite group G, an element is called a vanishing element of G if it is a zero of an irreducible character of G; otherwise, it is called a non-vanishing element. Moreover, the conjugacy class of an element is termed as a vanishing class if that element is a vanishing element. In this paper, we describe the finite groups whose vanishing class sizes are all powers of a prime p.

引用

页码：2978 / 2982

页数：5

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