The Influence Of The Property Of Pronormality On The Structures And Properties Of Finite Groups

In this paper, we discuss the relation between the pronormality and the structures and properties of finite groups. In some situations, a pronormal subgroup has a similar property to the Frattini property of a Sylow subgroup of a finite group, and vice versa. Besides, there's some relationship between the pronormality of subgroups and the super-solubility of finite groups, between the normal embedding property and the solubility.