| The purpose of this paper is to study the in?uence of ?-permutable, s-qusinormality, s-qusinormally embedded subgroups on the structure of finite groups (such as nilpotency, p-nilpotency, supersolvability, p-supersolvability), and generalize some related results. It is dividedinto three chapters:In Chapter 1, we introduce the investigative background of this paper and present somepreliminary notions, properties, correlative lemmas and theorems.In Chapter 2, we suppose that its elements are all ?-permutable in some Md(P ), thenunder this condition we discuss the structure of finite groups, and obtain some results aboutp-nilpotency, supersolvability, p-supersolvability.In Chapter 3, on the base of the notions of s-qusinormality and s-qusinormally embeddedsubgroups, we obtain some necessary and su?cient conditions in p-nilpotency, p-supersolvability,supersolvability of finite groups. |
