The Influence of Conjugacy Class Sizes on the Structure of Finite Groups

被引：0

作者：

Chen, Ruifang ^{[1
]}

Zhao, Xianhe ^{[1
]}

机构：

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

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2017年 / 21卷 / 04期

基金：

中国国家自然科学基金;

关键词：

conjugacy class size; Sylow subgroup; abelian; PRIME POWER ORDER; ELEMENTS;

D O I：

10.11650/tjm/7083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a group. The question of how certain arithmetical conditions on the sizes of the conjugacy classes of G influence the group structure has been studied by many authors. In this paper, we investigate the influence of conjugacy class sizes of primary and biprimary elements on the structure of G. A criterion for a group to have abelian Sylow subgroups is given and some well-known results on Baer-groups are generalized.

引用

页码：719 / 725

页数：7

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