Finite non-solvable groups in which the normalizer of every nonnormal cyclic subgroup is maximal

被引：2
|
作者：
Cao, Jianji [1 ]
Guo, Xiuyun [2 ]
Shum, K. P. [3 ]
机构：
[1] Shanxi Datong Univ, Dept Math, Datong, Shanxi, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[3] Yunnan Univ, Inst Math, Kunming, Yunnan, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Cyclic subgroup; maximal subgroup; normalizer; NON-ABELIAN SUBGROUP; P-GROUPS;
D O I：
10.1080/00927872.2017.1344694
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is well known that the normality of subgroups plays an important part in the research of group theory. So it is reasonable to investigate the structure of a group by using normalizers of some kind of subgroups. In this paper we mainly investigate the structure of non-solvable groups in which the normalizer of every non-normal cyclic subgroup is a maximal subgroup, and finally the classification for this kind of groups is given.
引用
收藏
页码：325 / 334
页数：10
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