Finite p-groups with a class of complemented normal subgroups

被引：1

作者：

Wang, Li Fang ^{[1
]}

Zhang, Qin Hai ^{[1
]}

机构：

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

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2017年 / 33卷 / 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：

10.1007/s10114-016-6066-2

中图分类号：

O29 [应用数学];

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 boolean AND 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 phi(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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