Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings

2005/04/28 by Alexander Dranishnikov, Dranishnikov, Alexander, Viktor Schroeder +1
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Metric Geometry (math.MG) #math.GR #math.MG

paper · pdf · doi:10.48550/arxiv.math/0504566

arxiv created 2005/04/28 · arxiv updated 2009/12/01

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.

Related

• Embedding of Coxeter groups in a product of trees
• Aperiodic colorings and tilings of Coxeter groups
• Embedding relatively hyperbolic groups into products of binary trees
• A product of trees as universal space for hyperbolic groups
• A series of word-hyperbolic Coxeter groups