Finite p-groups all of whose proper subgroups have small derived subgroups

被引：0

作者：

ZHANG JunQiang & LI XianHua School of Mathematical Sciences

机构：

来源：

Science China Mathematics | 2010年 / 53卷 / 05期

基金：

中国国家自然科学基金;

关键词：

finite p-group; derived subgroup; minimal non-abelian p-group; D1-group;

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

070104 ;

摘要：

Let G be a finite p-group.If the order of the derived subgroup of each proper subgroup of G divides pi,G is called a Di-group.In this paper,we give a characterization of all D1-groups.This is an answer to a question introduced by Berkovich.

引用

页码：320 / 325

页数：6

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