61 citations · 115 across the 5 of their papers we have counts for
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Asymptotic dimension in Bedlewo
G. Bell, A. Dranishnikov
This survey was compiled from lectures and problem sessions at the International Conference on Geometric Topology at the Mathematical Research and Conference Center in Bedlewo, Pol…
Embedding of hyperbolic Coxeter groups into products of binary trees and aperiodic tilings
Alexander Dranishnikov, Viktor Schroeder
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…
On Bestvina-Mess Formula
A. N. Dranishnikov
Bestvina and Mess [BM] proved a remarkable formula for torsion free hyperbolic groups connecting the cohomological dimension of a group with the c…
A Hurewicz-type theorem for asymptotic dimension and applications to geometric group theory
G. C. Bell, A. N. Dranishnikov
We prove an asymptotic analog of the classical Hurewicz theorem on mappings which lower dimension. This theorem allows us to find sharp upper bound estimates for the asymptotic dim…
Embedding of Coxeter groups in a product of trees
Alexander Dranishnikov, Viktor Schroeder
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 res…