2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71854We constract various subgroups of the group of isometries of universal Urysohn spaces (unique complete separable metric space which is iniversal and homogeneous) including abelian groups which act transitively, and free groups which are dense in the full isometry group.15 pages, 8 refMetric GeometryGroup Theory51F22,, 20B30Some isometry groups of Urysohn spacetext