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Noncoherence of some lattices in Isom(H n )
Michael Kapovich, Leonid Potyagailo and Ernest
Vinberg
Geometry & Topology Monographs 14
(2008) 335–351
Abstract
We prove noncoherence of certain families of lattices in the isometry
group of the hyperbolic n–space for n greater than 3. For
instance, every nonuniform arithmetic lattice in SO(n,1) is
noncoherent, provided that n is at least 6.
To the memory of Heiner
Zieschang
Keywords
coherence, hyperbolic space, lattices
Mathematical Subject Classification
Primary: 22E40
Secondary: 20F65
Publication
Received: 14 August 2006
Accepted: 18 November 2006
Published: 29 April 2008