A criterion for subnormality of subgroups in finite groups

被引：0

作者：

Wei, Hua Quan ^{[1
,2
]}

Pan, Hong Fei ^{[2
]}

Dong, Shu Qin ^{[2
]}

Sun, Xu ^{[2
]}

机构：

[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Peoples R China

[2] Guangxi Teachers Educ Univ, Sch Math Sci, Nanning 530001, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 08期

关键词：

Finite group; solvable group; maximal subgroup; subnormal subgroup; semidirect;

D O I：

10.1007/s10114-012-0425-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on Wielandt's criterion for subnormality of subgroups in finite groups, we study 2-maximal subgroups of finite groups and present another subnormality criterion in finite solvable groups.

引用

页码：1575 / 1580

页数：6