ISOLATED SUBGROUPS OF FINITE p-GROUPS

被引：1

作者：

Song, Qiangwei ^{[1
]}

An, Lijian ^{[1
]}

机构：

[1] Shanxi Normal Univ, Math Dept, Linfen 041004, Shanxi, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2022年 / 105卷 / 03期

关键词：

finite p-group; isolated subgroup; metacyclic subgroup; Hughes subgroup; NON-ABELIAN SUBGROUP;

D O I：

10.1017/S0004972721000733

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We say that a subgroup H is isolated in a group G if for each x is an element of G either x is an element of H or < x > boolean AND H = 1. We determine the structure of finite p-groups with isolated minimal nonabelian subgroups and finite p-groups with an isolated metacyclic subgroup.

引用

页码：449 / 457

页数：9

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