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

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.

Cited by in corpus (2)

• Asymptotic dimension in Bedlewo
• A product of trees as universal space for hyperbolic groups