No abstract

No abstract

No abstract

Abstract.A new kind of abelian p-gioup, called an A -group, is introduced. This class contains the totally projective groups and Warfield's S-groups as special cases. It also contains the V-groups recently classified by the author. These more general groups are classified by cardinal (numerical) invariants which include, but are not limited to, the Ulm-Kaplansky invariants. Thus the existing theory, as well as the classification, of certain abelian ^-groups is once again generalized.Having classified /(-groups (by means of a uniqueness and corresponding existence theorem) we can successfully study their structure and special properties. Such a study is initiated in the last section of the paper.

No abstract