Finite p-groups whose Abelian subgroups have a trivial intersection

被引：9

作者：

Li, Shi Rong ^{[1
]}

Guo, Xiu Yun

机构：

[1] Guangxi Univ, Dept Math, Nanning 530004, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 04期

基金：

上海市自然科学基金; 中国国家自然科学基金;

关键词：

p-groups; Abelian subgroups; TI-subgroups;

D O I：

10.1007/s10114-005-0795-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup H of a finite group G is called a TI-subgroup if H boolean AND H-x = 1 or H for all x is an element of G. In this paper, a complete classification for finite p-groups, in which all abelian subgroups are TI-subgroups, is given.

引用

页码：731 / 734

页数：4

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