The Structure of Groups

Abstract

We continue our study of groups according to the plan outlined in the introduction of Chapter I. The chief emphasis will be on obtaining structure theorems of some depth for certain classes of abelian groups and for various classes of (possibly non-abelian) groups that share some desirable properties with abelian groups. The chapter has three main divisions which are essentially independent of one another, except that results from one may be used as examples or motivation in the others. The interdependence of the sections is as follows.