Noncoherence of some lattices in Isom(Hn)

Details Noncoherence of some lattices in Isom(Hn) Noncoherence of some lattices in Isom(Hn)

2006-08-16

arxiv.org/abs/math/0608415v3

Geom. Topol. Monogr. 14 (2008) 335-351

Mathematics

Group Theory

This is the version published by Geometry & Topology Monographs on 29 April 2008. V3: typographical corrections

Scientific paper

10.2140/gtm.2008.14.335

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.

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