English

Hyperbolic Coxeter groups with Sierpi\'nski carpet boundary

Geometric Topology 2018-05-16 v1

Abstract

We give a necessary and sufficient condition for a hyperbolic Coxeter group with planar nerve to have Sierpi\'nski curve as its Gromov boundary.

Cite

@article{arxiv.1502.02044,
  title  = {Hyperbolic Coxeter groups with Sierpi\'nski carpet boundary},
  author = {Jacek Świątkowski},
  journal= {arXiv preprint arXiv:1502.02044},
  year   = {2018}
}

Comments

9 pages, 2 figures

R2 v1 2026-06-22T08:24:16.594Z