References
Freedman, H.: The automorphisms of countable primary reduced abelian groups. Proc. London Math. Soc.12, 77–99 (1962).
Fuchs, L.: On the automorphism group of abelianp-groups. Publ. Math. Debrecen7, 122–129 (1960).
Hill, P.: Sums of countable primary groups. Proc. Am. Math. Soc.17, 1469–1470 (1966).
——, andC. Megibben: On primary groups with countable basic subgroups. Trans. Am. Math. Soc.124, 49–59 (1966).
Irwin, J. M., andF. Richman: Direct sums of countable groups and related concepts. J. Algebra2, 443–450 (1965).
Kaplasnky, I.: Projective modules. Ann. Math.68, 371–377 (1958).
-- Infinite abelian groups. Ann. Arbor: 1954.
Kolettis, G.: Direct sums of countable groups. Duke Math. J.27, 111–125 (1960).
Megibben, C.: Large subgroups and small homomorphisms. Michigan J. Math.13, 153–160 (1966).
Nunke, R. J.: Homology and direct sums of countable abelian groups (to appear).
Ulm, H.: Zur Theorie der abzählbar-unendlichen abelschen Gruppen. Math. Ann.107, 774–803 (1933).
Zippin, L.: Countable torsion groups. Ann. Math.36, 86–99 (1935).
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The authors wish to acknowledge support by the National Science Foundation, Grant GP-5875.
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Hill, P., Megibben, C. Extending automorphisms and lifting decompositions in Abelian groups. Math. Ann. 175, 159–168 (1968). https://doi.org/10.1007/BF01418771
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DOI: https://doi.org/10.1007/BF01418771