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Noncoherence of some lattices in Isom(Hn)

Michael Kapovich·Leonid Potyagailo·Ernest Vinberg
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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.

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Michael Kapovich, Leonid Potyagailo, Ernest Vinberg. 2009-04-21. Noncoherence of some lattices in Isom(Hn). https://doi.org/10.2140/gtm.2008.14.335

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