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On cartesian powers of a rational group. (English) Zbl 0403.20034


MSC:

20K25 Direct sums, direct products, etc. for abelian groups
20K15 Torsion-free groups, finite rank
20K20 Torsion-free groups, infinite rank
20K27 Subgroups of abelian groups
20K30 Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups
20K35 Extensions of abelian groups
20K45 Topological methods for abelian groups
20A15 Applications of logic to group theory
03E55 Large cardinals
03E45 Inner models, including constructibility, ordinal definability, and core models
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References:

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[3] Dugas, M., Göbel, R.: Die Struktur kartesischer Produkte ganzer Zahlen modulo kartesische Produkte ganzer Zahlen. Math. Z. (to appear) · Zbl 0387.03018
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[9] Hiller, H., Huber, M., Shelah, S.: The structure of Ext (A ?) andV=L. Math. Z.162, 39-50 (1978) · Zbl 0366.20041
[10] Huber, M.: Whitehead’s problem and the structure of Ext. Manuscript in preparation
[11] Huber, M., Warfield, R.: On the torsion subgroup of Ext (A, G)., Arch. Math. (Basel)32, 5-9 (1979) · Zbl 0402.20043
[12] Nunke, R.: On direct products of infinite cyclic groups. Proc. Amer. Math. Soc.13, 66-71 (1962) · Zbl 0103.01605 · doi:10.1090/S0002-9939-1962-0136655-5
[13] Shelah, S.: Infinite abelian groups-Whitehead problem and some constructions. Israel J. Math.18, 243-256 (1974) · Zbl 0318.02053 · doi:10.1007/BF02757281
[14] Shoenfield, J.: Martin’s Axiom. Amer. Math. Monthly82, 610-617 (1975) · Zbl 0314.02069 · doi:10.2307/2319691
[15] Specker, E.: Additive Gruppen von Folgen ganzer Zahlen. Protugal. Math.9, 131-140 (1950) · Zbl 0041.36314
[16] Warfield, R.: Extensions of torsion-free abelian groups of finite rank. Arch. Math. (Basel)23, 145-150 (1972) · Zbl 0244.20064
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