On Finite Groups that are the Product of Two Subnormal Supersoluble Subgroups  

作　　者：John COSSEY Yang Ming LI 

机构地区：[1]Mathematics Department,School of Mathematical Science,The Australian National University,Canberra,2601,Australia [2]Department of Mathematics,Guangdong University of Education,Guangzhou,510310,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第1期30-36,共7页数学学报（英文版）

基　　金：supported by the project of NSF of China(Grant No.12071092);the major project of Basic and Applied Research(Natural Science)in Guangdong Province,China(Grant No.2017KZDXM058);the Science and Technology Program of Guangzhou Municipality,China(Grant No.201804010088)。

摘　　要：Denote the class of finite groups that are the product of two normal supersoluble subgroups and the class of groups that are the product of two subnormal supersoluble subgroups by B_(1)and B_(2),respectively.In this paper,a characterisation of groups in B_(1)or in B_(2)is given.By applying this new characterisation,some new properties of B_(1)(B_(2))and new proofs of many known results about B_(1)or B_(2)are obtained.Further,closure properties of B_(1)and B_(2)are discussed.

关 键 词：Finite group supersoluble group normal subgroup subnormal subgroup product of subgroups 

分 类 号：O152.1[理学—数学]