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.
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页码：278 / 286
页数：9
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