Locally Finite Groups with Centralizers of Finite Rank

被引：1

作者：

Ersoy, Kivanc ^{[1
]}

Gupta, Chander Kanta ^{[2
]}

机构：

[1] Mimar Sinan Fine Arts Univ, Dept Math, TR-34427 Istanbul, Turkey

[2] Univ Manitoba, Dept Math, Winnipeg, MB, Canada

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Centralizers; Groups of finite rank; Locally finite groups; Simple groups; PRIME-ORDER; AUTOMORPHISMS;

D O I：

10.1080/00927872.2015.1130146

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The structure of locally finite groups with an involution whose centralizer has finite rank was described by Kuzucuo and Shumyatsky. In this paper, we investigate the structure of locally finite groups with an element of order 3 whose centralizer has finite rank. Moreover, for any p, we classify simple locally finite groups having an automorphism of order p whose set of fixed points has finite rank.

引用

页码：5074 / 5087

页数：14

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