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On the freeness of abelian groups: A generalization of Pontryagin’s theorem. (English) Zbl 0223.20058


MSC:

20K20 Torsion-free groups, infinite rank
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References:

[1] L. Fuchs, Abelian groups, International Series of Monographs on Pure and Applied Mathematics, Pergamon Press, New York-Oxford-London-Paris, 1960. · Zbl 0100.02803
[2] Paul Hill, Primary groups whose subgroups of smaller cardinality are direct sums of cyclic groups, Pacific J. Math. 42 (1972), 63 – 67. · Zbl 0251.20057
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