Geodesic
On the number of metrizable group topologies on countable groups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2013), pp. 17-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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If a countable group $G$ admits a non-discrete metrizable group topology $\tau_0$, then in the group $G$, there are: – Continuum of non-discrete metrizable group topologies stronger than $\tau_0$, and any two of these topologies are incomparable; – Continuum of non-discrete metrizable group topologies stronger than $\tau_0$, and any two of these topologies are comparable. 
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V. I. Arnautov; G. N. Ermakova. On the number of metrizable group topologies on countable groups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2013), pp. 17-26. http://geodesic.mathdoc.fr/item/BASM_2013_2_a2/

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