A product of trees as universal space for hyperbolic groups

Abstract

We show that every Gromov hyperbolic group $\Ga$ admits a quasi-isometric embedding into the product of $(n+1)$ binary trees, where $n=\dim\di\Ga$ is the topological dimension of the boundary at infinity of $\Ga$.

35 pages, 2 figures

References in corpus (1)

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