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.
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)。
