Isomorphism and Realization Theorems

Abstract

In Chapter 5 the following topics are considered:

• the Baer-Kaplansky theorem (Section 24);

• continuous and discrete isomorphisms of endomorphism rings (Section 25);

• endomorphism rings of groups with large divisible subgroups (Section 26);

• isomorphisms of endomorphism rings of mixed groups of torsion-free rank 1 (Section 27);

• the Corner’s theorem on split realization (Section 28);

• realizations for endomorphism rings of torsion-free groups (Section 29);

• the realization problem for endomorphism rings of mixed groups (Section 30).