Thin subgroups isomorphic to Gromov--Piatetski-Shapiro lattices

Samuel A. Ballas

doi:10.2140/pjm.2020.309.257

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arXiv · 1911.06933

Thin subgroups isomorphic to Gromov--Piatetski-Shapiro lattices

Samuel A. Ballas

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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 $\mathrm{SO}(n,1)$ constructed by Gromov and Piatetski-Shapiro can be embedded into $\mathrm{SL}_{n+1}(\mathbb{R})$ so that their images are thin subgroups

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BibTeX RIS

Samuel A. Ballas. 2019-11-16. Thin subgroups isomorphic to Gromov--Piatetski-Shapiro lattices. https://doi.org/10.2140/pjm.2020.309.257

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