References
[B1]Baer, R.,The subgroup of the elements of finite order of an abelian group, Ann. Math.37 (1936), 766–781.
[B2]Baer, R.,Die Torsionsuntergruppe einer abelschen Gruppe, Math. Ann.135 (1958), 219–234.
[E1]Eklof, P.,Whitehead's problem is undecidable, The Amer. Math. Monthyl83 (1976), 775–788.
[E2]Eklof, P.,Homological algebra and set theory, Trans. Amer. Math. Soc.227 (1977), 207–225.
[E3]Eklof, P.,Applications of logic to the problem of splitting abelian groups. Logic Colloquium 76, North-Holland (1977), 287–299.
[F1]Fuchs, L.,Infinite Abelian Groups, Vol. I, Academic Press, New York 1970.
[F2]Fuchs, L.,Infinite Abelian Groups, Vol. II, Academic Press, New York 1973.
[Hi]Hill, P.,On the freeness of abelian groups a generalization of Pontryagin's theorem, Bull. Amer. Math. Soc.76 (1970), 1118–1120.
[H-H-S]Hiller, H., Huber, M., andShelah, S.,The structure of Ext (A,Z)and V=L, Math. Z.162 (1978), 39–50.
[Hu]Huber, M.,Sur les groupes abéliens de la forme Ext(A, G), C. R. Acad. Sc. Paris,285 (1977), Série A, 529–531.
[J]Jensen, C., Les Foncteurs Dérivés de\(\bar R^n \) et leurs Applications en Théorie des Modules, Lecture Notes in Math.254, Springer-Verlag, 1972.
[M-V]Meijer, A. andViljoen, G.,A note on the extensions of the infinite cyclic group and realizable groups, Arch. Math.25 (1974), 113–120.
[N1]Nunke, R.,Modules of extensions over Dedekind rings, Illinois J. Math.3 (1959), 222–241.
[N2]Nunke, R.,A note on abelian group extensions, Pacific J. Math.12 (1962), 1401–1403.
[R]Rotman, J.,On a problem of Baer and a problem of Whitehead in abelian groups, Acta Math. Acad. Sci. Hungar.12 (1961), 245–254.
[Sh1]Shelah, S.,Infinite abelian groups—Whitehead problem and some constructions, Israel J. Math.18 (1974), 243–256.
[Sh2]Shelah, S.,A compactness theorem for singular cardinals, free algebras Whitehead problem and transversals, Israel J. Math.21 (1975), 319–349.
[Sh3]Shelah, S.,Compactness in singular cardinals revisted, preprint.
[Sz]Szele, T.,On the basic subgroups of abelian p-groups, Acta Math. Acad. Sci. Hungar.5 (1954), 129–141.
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Research of the first author partially supported by NSF grant MCS76-12014.
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Eklof, P.C., Huber, M. Abelian group extensions and the axiom of constructibility. Commentarii Mathematici Helvetici 54, 440–457 (1979). https://doi.org/10.1007/BF02566286
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DOI: https://doi.org/10.1007/BF02566286