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The structure of large subgroups of primary abelian groups. (English) Zbl 0215.39804


MSC:

20K27 Subgroups of abelian groups
20K10 Torsion groups, primary groups and generalized primary groups
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References:

[1] L. Fuchs,Abelian Groups (Budapest, 1958). · Zbl 0091.02704
[2] P. Hill, Quasi-Isomorphism of Primary Groups,Michigan Math. Journal,13 (1966), pp. 481–484. · Zbl 0158.27406
[3] P. Hill andC. Megibben, Quasi-closed Primary Groups,Acta Math. Acad. Sci. Hung.,16 (1965), pp. 271–274. · Zbl 0209.33204
[4] J. M. Irwin andF. Richman, Direct Sums of Countable Groups and Related Concepts,Journal of Algebra,4 (1965). · Zbl 0132.27104
[5] I. Kaplansky,Infinite Abelian Groups, Ann Arbor, University of Michigan, 1954. · Zbl 0057.01901
[6] C. Meggiben, Large Subgroups and Small Homomorphisms,Michigan Math. Journal 13, (1966), pp. 153–160. · Zbl 0166.02502
[7] R. J. Nunke, Homology and Direct Sums of Countable Abelian Groups,Math. Zeitschr.,101, (1967), pp. 182–212. · Zbl 0173.02401
[8] R. S. Pierce, Homomorphisms of Primary Abelian Groups,Topics in Abelian Groups, Scott, Foresman and Company (Chicago, 1963).
[9] F. Richman, Thin Abelianp-groups. (To appear.)
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