On weakly SS-quasinormal minimal subgroups of finite groups

被引：0

作者：

Zhong, Xianggui ^{[1
]}

Li, Shirong ^{[2
]}

机构：

[1] Guangxi Normal Univ, Dept Math, Guilin 541004, Guangxi, Peoples R China

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

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2011年 / 78卷 / 01期

关键词：

weakly SS-quasinormal subgroups; saturated formations; supersolvable groups; minimal subgroups; QUASINORMALITY;

D O I：

10.5486/PMD.2011.4769

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a group G is said to he weakly SS-quasinormal if there exists a subgroup B of G such that HB is normal in G and for any prime p with (p, vertical bar H vertical bar) = 1, H permutes with every Sylow p-subgroup of B and Syl(p)(B) subset of Syl(p)(G). In this article, we study the influence of weakly SS-quasinormal minimal subgroups of a finite group. Our results generalize the recent results obtained about the classification of a group by considering the SS-quasinormality of some subgroups.

引用

页码：209 / 218

页数：10

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