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
收藏
页码：178 / 188
页数：11
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