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.

References in corpus (1)

• Embedding of Coxeter groups in a product of trees

Cited by in corpus (6)

• Asymptotic dimension in Bedlewo
• Dimension of locally and asymptotically self-similar spaces
• A product of trees as universal space for hyperbolic groups
• Aperiodic colorings and tilings of Coxeter groups
• Asymptotic dimension of proper CAT(0) spaces which are homeomorphic to the plane
• Talagrand's influence inequality revisited