On weakly SS-permutable subgroups of a finite group

被引：0

作者：

He, Xuanli ^{[1
]}

Li, Yangming ^{[2
]}

Wang, Yanming ^{[3
,4
]}

机构：

[1] Guangxi Univ, Dept Math, Nanning 530004, Peoples R China

[2] Guangdong Inst Educ, Dept Math, Guangzhou 510310, Peoples R China

[3] Sun Yat Sen Univ, Lingnan Coll, Zhongshan 510275, Peoples R China

[4] Sun Yat Sen Univ, Dept Math, Zhongshan 510275, Peoples R China

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2010年 / 77卷 / 1-2期

关键词：

weakly SS-permutable subgroup; the generalized Fitting subgroup; formation; MINIMAL SUBGROUPS; PI-QUASINORMALITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that G is a finite group and H is a subgroup of G. We say that H is SS-permutable in G if there is a supplement B of H to G such that H permutes with every Sylow subgroup of B; H is weakly SS-permutable in G if there exist a subnormal subgroup T of G and an SS-permutable subgroup H(ss) of G contained in H such that G = HT and H boolean AND T <= H(ss). We investigate the influence of weakly SS-permutable subgroups on the structure of finite groups. Some recent results are generalized and unified.

引用

页码：65 / 77

页数：13

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