THE INFLUENCE OF MINIMAL SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS

被引：4
作者：
Lu, Jiakuan [1 ]
Guo, Xiuyun [2 ]
Li, Xuan [2 ]
机构：
[1] Guangxi Normal Univ, Dept Math, Guilin 541004, Guangxi, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 04期
基金：
中国国家自然科学基金;
关键词：
ss-supplemented subgroups; minimal subgroups; p-nilpotent groups; SUPPLEMENTED SUBGROUPS;
D O I：
10.1142/S0219498812501897
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A subgroup H of a finite group G is called ss-supplemented in G if there exists a subgroup K of G such that G = HK and H boolean AND K is s-quasinormal in K. In this paper, we investigate the influence of ss-supplemented minimal subgroups on the structure of finite groups and obtain some interesting results.
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页数：8
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