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 (4)

• Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
• Hyperbolic dimension of metric spaces
• Embedding of hyperbolic spaces in the product of trees
• Capacity dimension and embedding of hyperbolic spaces into the product of trees

Cited by in corpus (1)

• Asymptotic isoperimetry on groups and uniform embeddings into Banach spaces