Abstract
We prove that a countable locally minimal Abelian group of finite exponent m is discrete. For prime m, this answers Question 7.35(b) from [2].
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I. Protasov, Weakening topologies on a countable Boolean group, preprint.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 17, No. 1, pp. 58–59 January–March, 2020.
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Protasov, I. Weakening Topologies on a Countable Abelian group of Finite Exponent. J Math Sci 248, 188–189 (2020). https://doi.org/10.1007/s10958-020-04868-0
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DOI: https://doi.org/10.1007/s10958-020-04868-0