2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121946This is a survey of higher-dimensional Kleinian groups, i.e., discrete isometry groups of the hyperbolic n-space for n greater than 3. Our main emphasis is on the topological and geometric aspects of higher-dimensional Kleinian groups and their contrast with the discrete groups of isometry of the hyperbolic 3-space.70 pages, 6 figures. To appear in Proceedings of A. Reznikov Memorial Conference "Geometry and Dynamics of Groups and Spaces''Geometric TopologyDifferential GeometryGroup Theory30F40; 20F67text