A Criterion for Subnormality of Subgroups in Finite Groups  

作　　者：Hua Quan WEI Hong Fei PAN Shu Qin DONG Xu SUN 

机构地区：[1]College of Mathematics and Information Sciences,Guangxi University [2]School of Mathematics Science,Guangxi Teacher's Education University

出　　处：《Acta Mathematica Sinica,English Series》2012年第8期1575-1580,共6页数学学报（英文版）

基　　金：Supported by NSF of China(Grant Nos.10961007,10871210);NSF of Guangxi(Grant No.0991101);Guangxi Education Department

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.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.

关 键 词：Finite group solvable group maximal subgroup subnormal subgroup semidirect 

分 类 号：O152.1[理学—数学]