Noncoherence of arithmetic hyperbolic lattices
- Author(s): Kapovich, M
- et al.
Published Web Locationhttps://doi.org/10.2140/gt.2013.17.39
We prove that all arithmetic lattices in O (n, 1), n≥ 4, n ≠ 7, are noncoherent. We lso establish noncoherence of uniform arithmetic lattices of the simplest type in SU (2, 1), n ≥ 2, and of uniform lattices in SU(2, 1) which have infinite abelianization.