2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59434Suppose G is a hyperbolic group whose boundary has topological dimension k. If the boundary is quasisymmetrically homeomorphic to an Ahlfors k-regular metric space, then, modulo a finite normal subgroup, G is isomorphic to a uniform lattice in the isometry group of hyperbolic (k+1)-space.Metric GeometryGroup Theory20F67,30C65text