On s-semipermutable Subgroups of Finite Groups

Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with （p, ｜H｜） = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unif...

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Published inActa mathematica Sinica. English series Vol. 26; no. 11; pp. 2215 - 2222
Main Authors Li, Yang Ming, He, Xuan Li, Wang, Yan Ming
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.11.2010
Springer Nature B.V
Subjects
Google
Hypotheses
Mathematical analysis
Mathematics
Mathematics and Statistics
Studies
Subgroups
Sylow
个性化
有限群
群结构
肝炎病毒
nilpotent group
20D10
saturated formation
20D20
the generalized Fitting subgroup
s-semipermutable subgroup
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Summary:Suppose that G is a finite group and H is a subgroup of G. We say that H is ssemipermutable in G if HGv = GpH for any Sylow p-subgroup Gp of G with （p, ｜H｜） = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized and unified.
Bibliography:O152.1
TP393.092
s-semipermutable subgroup, the generalized Fitting subgroup, p-nilpotent group, saturated formation
11-2039/O1
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-010-7609-6