Finite groups with at most six vanishing conjugacy classes

被引：0

作者：

Robati, Sajjad M. ^{[1
]}

Darafsheh, M. R. ^{[2
]}

机构：

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

[2] Univ Tehran, Coll Sci, Sch Math Stat & Comp Sci, Tehran, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2022年 / 21卷 / 04期

关键词：

Finite groups; vanishing elements; conjugacy classes; DIRECT PRODUCTS; UNION; AUTOMORPHISMS; SUBGROUPS; NUMBER; GRAPHS;

D O I：

10.1142/S0219498822500761

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group. We say that a conjugacy class of g in C is vanishing if there exists some irreducible character chi of G such that chi(g) = 0. In this paper, we show that finite groups with at most six vanishing conjugacy classes are solvable or almost simple groups.

引用

页数：12

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