Finite p-Groups with a Class of Complemented Normal Subgroups

被引：0

作者：

Li Fang WANG ^{[1
]}

Qin Hai ZHANG ^{[1
]}

机构：

[1] Mathematics Department,Shanxi Normal University

来源：

Acta Mathematica Sinica,English Series | 2017年 / 02期

基金：

中国国家自然科学基金;

关键词：

Finite p-groups; normal subgroups; subgroup complement;

D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

070104 ;

摘要：

Assume G is a finite group and H a subgroup of G. If there exists a subgroup K of G such that G = HK and H ∩ K = 1, then K is said to be a complement to H in G. A finite p-group G is called an NC-group if all its proper normal subgroups not contained in Φ(G) have complements. In this paper, some properties of NC-groups are investigated and some classes of NC-groups are classified.

引用

页码：278 / 286

页数：9

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