On Weakly HC-embedded Subgroups And SSH-subgroups Of Finite Groups

In the study of group theory,some subgroups are often used to describe the struc-ture and the properties of groups.It is always a hot topic for many researchers to study the properties of groups by using some special subgroups.The solvability,super-solvability and p-nilpotence of groups are the basic importa.nt properties of groups,It is necessary to use some subgroups to study these properties.In this paper,we mainly use the properties of weakly HC-embedded subgroups and SSH-subgroups to study the structure of groups,and get some related resultsIn Chapter 3,we mainly use some weakly HC-embedded subgroups to study the structure of groups.We discuss that the fixed order subgroups of P,which is some Sylow p-subgroup of odd order of G,are weakly HC-embedded subgroups in G.When the NG(P)is p-nilpotent,we study how they influence the p-nilpotence of GIn Chapter 4,we mainly study the finite groups with SSH-subgroups.We discuss the structure and properties of the finite groups with SSH-subgroups of prime power order,and get some related results.