The structure of -separable groups

Author:
Paul C. Eklof

Journal:
Trans. Amer. Math. Soc. **279** (1983), 497-523

MSC:
Primary 03E35; Secondary 03E50, 20A15, 20K20

DOI:
https://doi.org/10.1090/S0002-9947-1983-0709565-8

MathSciNet review:
709565

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Abstract: A classification theorem is proved for -separable -free abelian groups of cardinality assuming Martin's Axiom MA and . As a consequence, several structural results about direct sum decompositions of -separable groups are proved. These results are proved independent of ZFC, and, in addition, another structural property is proved undecidable in . The problem of classifying these groups in a model of is also investigated.

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DOI:
https://doi.org/10.1090/S0002-9947-1983-0709565-8

Article copyright:
© Copyright 1983
American Mathematical Society