On G-Conjugacy Class Sizes of Prime Power Order Elements

被引：0

作者：

Zhao, Xianhe ^{[1
,2
]}

Chen, Guiyun ^{[1
]}

Yang, Zhanying ^{[3
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

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

[3] South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R China

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2013年 / 37卷 / 04期

关键词：

Normal subgroups; Conjugacy class sizes; p-regular elements; Prime power order elements;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be a p-solvable normal subgroup of a group G. In this paper, we will prove that N is solvable if | x (G)| = 1 or m for every p - regular prime power order element x of N. Moreover, we also prove that N is a solvable 2-nilpotent group if 4 does not divide the conjugacy class sizes of {2, p}'- prime power order elements.

引用

页码：635 / 640

页数：6

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