2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131419In this paper we show how to obtain representations of Coxeter groups acting on H^n to certain classical groups. We determine when the kernel of such a representation is torsion-free and thus the quotient a hyperbolic n-manifold.8 pages, proceedings EdinburghGeometric TopologyGroup Theory57M50text