Uniqueness theorems for global mixed groups

Abstract

An equivalence theorem is established for global Warfield groups; if G is a global Warfield group, sufficient conditions are established for two subgroups H and H' to be equivalent in the sense that an automorphism of G maps Honto H'. The equivalence theorem is then applied to obtain a uniqueness theorem for a broad class of mixed groups. 1980 Mathematics Classification (1985 Revision): 20K21; 20K27, 20K30.