English

Kleinian groups via strict hyperbolization

Group Theory 2021-07-28 v2 Geometric Topology

Abstract

In this paper, we construct Kleinian groups Γ<Isom(H2n)\Gamma<\mathrm{Isom}(\mathbb{H}^{2n}) from the direct product of nn copies of the rank 2 free group F2F_2 via strict hyperbolization. We give a description of the limit set and its topological dimension. Such construction can be generalized to other right-angled Artin groups.

Cite

@article{arxiv.2107.09795,
  title  = {Kleinian groups via strict hyperbolization},
  author = {Beibei Liu},
  journal= {arXiv preprint arXiv:2107.09795},
  year   = {2021}
}

Comments

9 pages, and some typos have been revised