English

A hyperbolic lattice in each dimension with Zariski-dense surface subgroups

Group Theory 2022-07-20 v2 Geometric Topology

Abstract

For each integer n3n \geq 3, we exhibit a nonuniform arithmetic lattice in SO(n,1)\mathrm{SO}(n,1) containing Zariski-dense surface subgroups.

Keywords

Cite

@article{arxiv.2207.04255,
  title  = {A hyperbolic lattice in each dimension with Zariski-dense surface subgroups},
  author = {Sami Douba},
  journal= {arXiv preprint arXiv:2207.04255},
  year   = {2022}
}

Comments

Typos in the proofs of Lemma 2 and Theorem 1 were corrected, and a remark was appended to account for more straightforward examples in even dimensions. 5 pages, 1 figure

R2 v1 2026-06-25T00:46:52.705Z