Thin subgroups isomorphic to Gromov--Piatetski-Shapiro lattices
Abstract
In this paper we produce many examples of thin subgroups of special linear groups that are isomorphic to the fundamental groups of non-arithmetic hyperbolic manifolds. Specifically, we show that the non-arithmetic lattices in SO(n,1) constructed by Gromov and Piatetski-Shapiro can be embedded into SLn+1(R) so that their images are thin subgroups
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