On real conjugacy class sizes and the structure of finite groups

被引：0

作者：

Chen, Ruifang ^{[1
]}

Zhao, Xianhe ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2018年 / 61卷 / 03期

基金：

中国国家自然科学基金;

关键词：

real class; solvable group; normal; 2-complement; normal Sylow 2-subgroup; ORDER;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. We prove that if all noncentral primary and biprimary even real classes of G have prime sizes, then G has either a normal 2-complement or a normal Sylow 2-subgroup.

引用

页码：273 / 278

页数：6

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