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

Alexander Dranishnikov; Viktor Schroeder

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

Alexander Dranishnikov·Viktor Schroeder

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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.

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Alexander Dranishnikov, Viktor Schroeder. 2005-04-28. Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings. https://arxiv.org/abs/math/0504566

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