Noncoherence of some lattices in Isom(Hn)
  We 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. 
Michael Kapovich, Leonid Potyagailo, Ernest Vinberg