Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
Group Theory
2007-05-23 v1 Metric Geometry
Abstract
We prove that a finitely generated, right-angled, hyperbolic Coxeter group can be quasiisometrically embedded into the product of n binary trees, where n is the chromatic number of the group. As application we obtain certain strongly aperiodic tilings of the Davis complex of these groups.
Keywords
Cite
@article{arxiv.math/0504566,
title = {Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings},
author = {Alexander Dranishnikov and Viktor Schroeder},
journal= {arXiv preprint arXiv:math/0504566},
year = {2007}
}