S-embedded subgroups of finite groups

被引：0

作者：

Wenbin Guo

Yi Lu

Wenjuan Niu

机构：

[1] Xuzhou Normal Univ.,

[2] Univ. of Science and Technology of China,undefined

来源：

Algebra and Logic | 2010年 / 49卷

关键词：

finite group; permutable group; -embedded subgroup; supersoluble group; -nilpotent group;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A subgroup H of G is said to be S-embedded in G if G has a normal subgroup N such that HN is s-permutable in G and H ∩ N ⩽ HsG, where HsG is the largest s-permutable subgroup of G contained in H. S-embedded subgroups are used to give novel characterizations for some classes of groups. New results are obtained and a number of previously known ones are generalized.

引用

页码：293 / 304

页数：11

共 29 条

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