Research On Subnormally Embedded Subgroups Of Finite Groups

The thesis introduces the concept of subnormally embedded subgroups ofite groups. And we characterize the structure of finite groups by use of the im-rtant subnormally embedding subgroup characteristic, and get some sufcientd necessary conditions for a finite group to be p-nilpotent and solvable. Theesis is divided into two chapters. The main content is as follows:Chapter one, based on the study of subnormally embedding of maximal or2-aximal subgroups of Sylow subgroups on finite groups, we obtain some sufcientd necessary conditions for p-nilpotency on finite groups and generalize someown results.Chapter two, based on the study of subnormally embedding of maximal orclic subgroups of Sylow subgroups on finite groups, we get some sufcient orcessary conditions for solvability on finite groups and generalize some related...