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On character groups of discrete abelian groups

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References

  1. S. Balcerzyk, On algebraically compact groups of I. Kaplansky,Fundamenta Math.,44 (1957), pp. 91–93.

    Google Scholar 

  2. H. Cartan andS. Eilenberg,Homological algebra (Princeton, 1956).

  3. L. Fuchs, On the structure of abelianp-groups,Acta Math. Acad. Sci. Hung.,4 (1953), pp. 267–288.

    Google Scholar 

  4. L. Fuchs,Abelian groups (Budapest, 1958).

  5. A. Hulanicki, Algebraic characterization of abelian divisible groups which admit compact topologies,Fundamenta Math.,44 (1957), pp. 192–197.

    Google Scholar 

  6. A. Hulanicki, Algebraic structure of compact abelian groups,Bull. Acad. Polon. Sci.,6 (1958), pp. 71–73.

    Google Scholar 

  7. S. Kakutani, On cardinal numbers related with a compact abelian group,Proc. Imp. Acad. Tokyo,19 (1943), pp. 366–372.

    Google Scholar 

  8. I. Kaplansky,Infinite abelian groups (Ann Arbor, 1954).

  9. Л. Я. Куликов, Обобщенние примариые группы. I–II, Труды Моск. Мат. Общ.,1 (1952), pp. 247–326;2 (1953), pp. 85–167.

    Google Scholar 

  10. H. Leptin, Eine Kennzeichnung der reinen Untergruppen abelscher Gruppen,Acta. Math. Acad. Sci. Hung.,7 (1956), pp. 169–171.

    Google Scholar 

  11. J. Łoś, Abelian groups that are direct summands of every abelian group which contains them as pure subgroups,Fundamenta Math.,44 (1957), pp. 84–90.

    Google Scholar 

  12. Л. С. Понтрягин, Непрерывные группы (Москва, 1954).

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Fuchs, L. On character groups of discrete abelian groups. Acta Mathematica Academiae Scientiarum Hungaricae 10, 133–140 (1959). https://doi.org/10.1007/BF02063294

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