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

被引：23

作者：

An LiJian ^{[1
]}

Li Lili ^{[1
,2
]}

Qu HaiPeng ^{[1
]}

Zhang QinHai ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Computat Sci, Linfen 041004, Peoples R China

[2] Zhanjiang Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2014年 / 57卷 / 04期

基金：

中国国家自然科学基金;

关键词：

minimal non-abelian p-groups; A(t)-groups; congruent relation; sub-congruent relation;

D O I：

10.1007/s11425-013-4735-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify completely three-generator finite p-groups G such that I broken vertical bar(G) a (c) 1/2 Z(G) and |G'| a (c) 1/2 p (2). This paper is a part of the classification of finite p-groups with a minimal non-abelian subgroup of index p, and solve partly a problem proposed by Berkovich.

引用

页码：737 / 753

页数：17

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