Geodesic
A~class of groups in which all unconditionally closed sets are algebraic
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 217-222

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that, in any subgroup of a direct product of countable groups, the property of being an unconditionally closed set coincides with that of being an algebraic set. 
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     author = {O. V. Sipacheva},
     title = {A~class of groups in which all unconditionally closed sets are algebraic},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     year = {2006},
     language = {ru},
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O. V. Sipacheva. A~class of groups in which all unconditionally closed sets are algebraic. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 8, pp. 217-222. http://geodesic.mathdoc.fr/item/FPM_2006_12_8_a11/