S-semipermutable and Weakly S-permutable Subgroups

被引：0
|
作者：
Li Changwen [1 ]
机构：
[1] Xuzhou Normal Univ, Sch Math Sci, Xuzhou 221116, Peoples R China
来源：
MATEMATIKA | 2010年 / 26卷 / 02期
关键词：
s-semipermutable; weakly; 8-permutable; p-nilpotent; supersolvable;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
S-semipermutable subgroup and weakly 8-permutable subgroup are two different generalizations of 8-permutable subgroup. In this paper, we investigate the influence of s-semipermutable and weakly 8-permutable subgroups on the structure of finite groups. We give some conditions of p-nilpotency and supersolvability under assumption that some primary subgroups (for example, maximal subgroups or minimal subgroups of Sylow subgroups) are either s-semipermutable or weakly 8-permutable. Meanwhile, some results are extended by using formation theory.
引用
收藏
页码：127 / 136
页数：10
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