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A criterion for subnormality of subgroups in finite groups
Authors:Hua Quan Wei  Hong Fei Pan  Shu Qin Dong  Xu Sun
Institution:1. College of Mathematics and Information Sciences, Guangxi University, Nanning, 530004, P. R. China
2. School of Mathematics Science, Guangxi Teacher’s Education University, Nanning, 530001, P. R. China
Abstract: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.
Keywords:Finite group  solvable group  maximal subgroup  subnormal subgroup  semidirect
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