Finite groups all of whose abelian subgroups are QTI-subgroups

被引：8

作者：

Qian, Guohua ^{[1
]}

Tang, Feng ^{[1
]}

机构：

[1] Changshu Inst Technol, Dept Math, Jiangsu 215500, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2008年 / 320卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Finite group; TI-subgroup;

D O I：

10.1016/j.jalgebra.2008.08.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a group G is called a QTI-subgroup if C-G(x) <= N-G(H) for any 1 not equal x epsilon H, and a group is called AQTI-group if all of its abelian subgroups are QTI-subgroups. In this paper, we obtain a classification of the finite AQTI-groups. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：3605 / 3611

页数：7

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