Finite groups in which the normal closures of non-normal subgroups have the same order

被引：4

作者：

Wang, Lifang ^{[1
]}

Qu, Haipeng ^{[1
]}

机构：

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

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 07期

关键词：

Dedekind groups; normal closure; the center of a group; P-GROUPS;

D O I：

10.1142/S0219498816501255

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the structure of finite groups in which all normal closures of non-normal subgroups have the same order. In particular, in the case of p-groups, we give a complete classification.

引用

页数：15

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