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25 April 2024

» arxiv » math.GR/0504566

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Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
Alexander Dranishnikov ; Viktor Schroeder ;
Date:	28 Apr 2005
Subject:	Group Theory; Metric Geometry \| math.GR math.MG
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.
Source:	arXiv, math.GR/0504566
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