On conjugacy class sizes of pi-elements of primary orders in finite groups

被引：0

作者：

Kong, Qingjun ^{[1
]}

机构：

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

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2016年 / 22卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Conjugacy class sizes; Elements of primary orders; Finite groups;

D O I：

10.1007/s40590-015-0075-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group and pi an arbitrary set of primes. We investigate the structure of G when the sizes of the conjugacy classes of its pi-elements of primary orders are power of just one prime. Under this condition, we obtain certain properties of the normal structure of G.

引用

页码：137 / 140

页数：4

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