2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113791An embeddability criterion for zero-dimensional metrizable topological spaces in zero-dimensional metrizable topological groups is given. A space which can be embedded as a closed subspace in a zero-dimensional metrizable group but is not strongly zero-dimensional is constructed; thereby, an example of a metrizable group with noncoinciding dimensions ind and dim is obtained. It is proved that one of Kulesza's zero-dimensional metrizable spaces cannot be embedded in a metrizable zero-dimensional group.General TopologyGroup Theory54G20 (Primary); 54H11; 54F45; 54E35; 54C25; 22A05text