Abelian torsion groups having a minimal system of generators. (English) Zbl 0094.24603


20K10 Torsion groups, primary groups and generalized primary groups


Zbl 0098.01903
Full Text: DOI


[1] L. Fuchs, Abelian groups, Publishing House of the Hungarian Academy of Sciences, Budapest, 1958. · Zbl 0091.02704
[2] Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. · Zbl 0057.01901
[3] A. G. Kurosh, The theory of groups, Chelsea Publishing Co., New York, 1960. Translated from the Russian and edited by K. A. Hirsch. 2nd English ed. 2 volumes. · Zbl 0094.24501
[4] E. A. Walker, Abstract 564-235, Notices Amer. Math. Soc. vol. 6 (1959) p. 867.
[5] W. R. Scott, The number of subgroups of given index in nondenumerable Abelian groups, Proc. Amer. Math. Soc. 5 (1954), 19 – 22. · Zbl 0055.01706
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