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Abstract
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In this paper we produce many examples of thin subgroups of special
linear groups that are isomorphic to the fundamental group nonarithmetic
hyperbolic manifolds. Specifically, we show that the nonarithmetic lattices in
constructed by Gromov and Piatetski-Shapiro can be embedded into
so
that their images are thin subgroups.
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Keywords
thin groups, nonarithmetic lattices
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Mathematical Subject Classification 2010
Primary: 22E40, 57M50
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Milestones
Received: 18 November 2019
Revised: 23 November 2020
Accepted: 24 November 2020
Published: 14 January 2021
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