English

Noncoherence of some lattices in Isom(Hn)

Group Theory 2009-04-21 v3 Geometric Topology

Abstract

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.

Keywords

Cite

@article{arxiv.math/0608415,
  title  = {Noncoherence of some lattices in Isom(Hn)},
  author = {Michael Kapovich and Leonid Potyagailo and Ernest Vinberg},
  journal= {arXiv preprint arXiv:math/0608415},
  year   = {2009}
}

Comments

This is the version published by Geometry & Topology Monographs on 29 April 2008. V3: typographical corrections