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

被引:0
|
作者
JunQiang Zhang
XianHua Li
机构
[1] Soochow University,School of Mathematical Sciences
来源
Science China Mathematics | 2010年 / 53卷
关键词
finite ; -group; derived subgroup; minimal non-abelian ; -group; -group; 20D15; 20D10;
D O I
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学科分类号
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.
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页码:1357 / 1362
页数:5
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