2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227780We prove noncoherence of certain families of lattices in the isometry group of the hyperbolic n-space for n greater than 3. For instance, every nonuniform arithmetic lattice in SO(n,1) is noncoherent, provided that n is at least 6.This is the version published by Geometry & Topology Monographs on 29 April 2008. V3: typographical correctionsGroup TheoryGeometric Topology22E40, 20F65text