The Structure Of Finite Inner-n Group

We study the finite group theory,subgroups and factor groups will undoubtedly play an important part.Since the structure of subgroups and factor groups are simpler than the original group in general.However,it is a normal way to study the property of original group through the property of subgroups and factor groups,or even we could determine the special property of the original group only through the property of maximal subgroups.Through the book of inner and outer∑groups written by Professor Chert zhongmu,we give special order constraints in the order of subgroups,and give the inner-1,inner-2 and inner-n group of the definitions and their structures.This article is divided into 3 chapters,the main contents are as follows:ChapterⅠ:We give the definition of inner-1,inner-2 and inner-n group,introduce the conception of the inner nilpotent group and the inner solvable group,as well as some of the basic conception and fundamental theorem.ChapterⅡ:We study the inner-1,inner-2 and the finite solvable inner-n group and give the relevant structure.ChapterⅢ:We give some simple property of inner-1 and inner-2 groups.