Thin subgroups isomorphic to Gromov--Piatetski-Shapiro lattices
Geometric Topology
2021-01-20 v3 Group Theory
Number Theory
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 constructed by Gromov and Piatetski-Shapiro can be embedded into so that their images are thin subgroups
Cite
@article{arxiv.1911.06933,
title = {Thin subgroups isomorphic to Gromov--Piatetski-Shapiro lattices},
author = {Samuel A. Ballas},
journal= {arXiv preprint arXiv:1911.06933},
year = {2021}
}
Comments
v3: 7 pages, 1 figure, final version to appear in Pacific J Math