Suppose that A is a subgroup of a group G.A is called to be m-embeddedin G if G has a subnormal subgroup T and a{1<G}-embedded subgroup C such thatG=AT and AnT<C≤A.In this paper,we shall investigate the structu...Suppose that A is a subgroup of a group G.A is called to be m-embeddedin G if G has a subnormal subgroup T and a{1<G}-embedded subgroup C such thatG=AT and AnT<C≤A.In this paper,we shall investigate the structure of finitegroups by using m-embedded subgroups and obtain some new characterization aboutp-supersolvability and generalized hypercentre of finite groups.Some results in Guoand Shum(Arch Math 80:561-569,2003),Ramadan et al.(Arch Math 85:203-210,2005),Tang and Miao(Turk J Math 39:501-506,2015),and Xu and Zhang(Can MathBull 57(4):884-889,2014)are generalized.展开更多
基金NSFC(Grant#11271016)and NSFC(Grant#11471055)and Qing Lan project of Jiangsu Province and High-level personnel of support program of Yangzhou University and 333 high-level personnel training project in Jiangsu Province.
文摘Suppose that A is a subgroup of a group G.A is called to be m-embeddedin G if G has a subnormal subgroup T and a{1<G}-embedded subgroup C such thatG=AT and AnT<C≤A.In this paper,we shall investigate the structure of finitegroups by using m-embedded subgroups and obtain some new characterization aboutp-supersolvability and generalized hypercentre of finite groups.Some results in Guoand Shum(Arch Math 80:561-569,2003),Ramadan et al.(Arch Math 85:203-210,2005),Tang and Miao(Turk J Math 39:501-506,2015),and Xu and Zhang(Can MathBull 57(4):884-889,2014)are generalized.
