Conjugacy Class Sizes of Elements of Prime-Power Order of Finite Groups

被引：3

作者：

Kong, Qingjun ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2018年 / 44卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Conjugacy class sizes; p-nilpotent groups; Supersolvable groups; LENGTH;

D O I：

10.1007/s41980-018-0026-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and p is a prime. The purpose of this paper is to investigate influences of the sizes of conjugacy classes of p'-element of prime-power order of G on the structure of finite groups. We get some sufficient conditions for a finite group G to be p-nilpotent groups and supersolvable groups. Some known results are generalized.

引用

页码：405 / 408

页数：4

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