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IMI/Publicaţii/BASM/Ediţii/BASM n.1 (74), 2014/

On the number of group topologies on countable groups

Authors: Arnautov Vladimir, G. N. Ermakova

Abstract

If a countable group G admits a non-discrete Hausdorff group topology, then the lattice of all group topologies of the group G admits:

V. I. Arnautov
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str., MD-2028, Chisinau
Moldova
E-mail:

G. N. Ermacova
Transnistrian State University
25 October str., 128, Tiraspol, 278000
Moldova
E-mail:

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