Non-coherence of arithmetic hyperbolic lattices
Skip to main content
Open Access Publications from the University of California

Non-coherence of arithmetic hyperbolic lattices

  • Author(s): Kapovich, Michael
  • et al.

Published Web Location
No data is associated with this publication.

We prove, under the assumption of the virtual fibration conjecture for arithmetic hyperbolic 3-manifolds, that all arithmetic lattices in O(n,1), n> 4, and different from 7, are non-coherent. We also establish noncoherence of uniform arithmetic lattices of the simplest type in SU(n,1), n> 1, and of uniform lattices in SU(2,1) which have infinite abelianization.

Item not freely available? Link broken?
Report a problem accessing this item