On a Generalisation of Finite T-Groups  

作　　者：Chi Zhang Wenbin Guo A-Ming Liu 

机构地区：[1]Department of Mathematics,China University of Mining and Technology,Xuzhou 221116,People’s Republic of China [2]School of Science,Hainan University,Haikou,Hainan 570228,People’s Republic of China [3]School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,People’s Republic of China [4]School of Science,Hainan University,Haikou 570228,People’s Republic of China

出　　处：《Communications in Mathematics and Statistics》2022年第1期153-162,共10页数学与统计通讯（英文）

摘　　要：Letσ={σ_(i)|i∈I}be some partition of all primes P and G a finite group.A subgroup H of G is said to beσ-subnormal in G if there exists a subgroup chain H=H_(0)≤H_(1)≤・・・≤Hn=G such that either H_(i−1)is normal in Hi or Hi/(H_(i−1))Hi is a finiteσj-group for some j∈I for i=1,...,n.We call a finite group G a T_(σ)-group if everyσ-subnormal subgroup is normal in G.In this paper,we analyse the structure of the T_(σ)-groups and give some characterisations of the T_(σ)-groups.

关 键 词：Finite groups σ-groups Generalised T-groups σ-subnormal The condition R_(σi) 

分 类 号：O15[理学—数学]