Finite groups with some π-quasinormal minimal subgroups

被引：3

作者：

Li, Y ^{[1
]}

Wang, Y

机构：

[1] Guangdong Coll Educ, Dept Math, Guangzhou 510303, Peoples R China

[2] Zhongshan Univ, Lingnan Coll, Guangzhou 510275, Peoples R China

[3] Zhongshan Univ, Sch Math, Guangzhou 510275, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2004年 / 102卷 / 03期

关键词：

pi-quasinormal subgroup; nilpotent group; p-nilpotent group; saturated formation;

D O I：

10.1023/B:AMHU.0000023217.36582.b1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use pi-quasinormal condition on minimal subgroups to characterize the structure of a finite group through the theory of formation. We give some equivalent conditions of a nilpotent group or a saturated formation containing die. nilpotent groups. Our results generalize earlier theorems of Yokoyama, Ballester-Bolinches and Pedraza Aguilera.

引用

页码：213 / 222

页数：10

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