Non-coherence of arithmetic hyperbolic lattices
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Non-coherence of arithmetic hyperbolic lattices

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

Published Web Location

https://arxiv.org/pdf/1005.4135.pdf
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Abstract

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.

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