A finite group G is called an J N J-group if every proper subgroup H of G is either subnormal in G or self-normalizing. We determinate the structure of non-J N J-groups in which all proper subgroups are J N J- 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.
基金Chen is supported by NSFC(No.12161010)supported by NSFC(No.11861015)+3 种基金Guangxi Natural Science Foundation Program(No.2020GXNSFBA297121)Guangxi Natural Science Foundation Program(No.2020GXNSFAA238045)Guangxi Basic Ability Promotion Project for Young and Middle-aged Teachers(Nos.2021KY0064,2021KY1597)Center for Applied Mathematics of Guangxi,Guangxi Normal University
文摘A finite group G is called an J N J-group if every proper subgroup H of G is either subnormal in G or self-normalizing. We determinate the structure of non-J N J-groups in which all proper subgroups are J N J- groups.
基金Supported by NSF of China(Grant Nos.10961007,10871210)NSF of Guangxi(Grant No.0991101)Guangxi Education Department
文摘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.
基金Research supported by the National Natural Science Foundation of China(11071229)the Natural Science Foundation for Colleges and Universities of Jiangsu Province(10KJD110004)the Postgraduate Innovation Grant of Xuzhou Normal University(2011YLB025)
