Noncoherence of arithmetic hyperbolic lattices
Michael Kapovich · Geometry & Topology · 2013
We prove that all arithmetic lattices in O.n; 1/, n 4, n ¤ 7, are noncoherent.We also establish noncoherence of uniform arithmetic lattices of the simplest type in SU.n; 1/, n 2, and of uniform lattices in SU.2; 1/ which have infinite abelianization.