Finite p-groups with a minimal non-abelian subgroup of index p (I)

被引：14

作者：

Qu, Haipeng ^{[1
]}

Yang, Sushan ^{[1
]}

Xu, Mingyao ^{[1
]}

An, Lijian ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA | 2012年 / 358卷

关键词：

Minimal non-abelian p-groups; Metabelian p-groups; Regular p-groups; p-Groups of maximal class;

D O I：

10.1016/j.jalgebra.2012.03.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an odd prime p, we classify finite p-groups with a unique minimal non-abelian subgroup of index p. In fact, such groups have a maximal quotient which is a 3-group of maximal class. This paper is a part of classification of finite p-groups with a minimal non-abelian subgroup of index p, and partly solves a problem proposed by Berkovich. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：178 / 188

页数：11

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