Non-coherence of arithmetic hyperbolic lattices
Group Theory
2014-11-11 v1 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1005.4135,
title = {Non-coherence of arithmetic hyperbolic lattices},
author = {Michael Kapovich},
journal= {arXiv preprint arXiv:1005.4135},
year = {2014}
}
Comments
26 pages, 3 figures