Embedding of Coxeter groups in a product of trees

Abstract

We prove that a right angled Coxeter group with chromatic number n can be embedded in a bilipschitz way into the product of n locally finite trees. We give applications of this result to various embedding problems and determine the hyperbolic rank of products of exponentially branching trees.

16 pages

Cited by in corpus (1)

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