A product of trees as universal space for hyperbolic groups

2005/09/15 by Sergei Buyalo, Buyalo, Sergei, Viktor Schroeder +1 · 1 citation
Mathematics · #20F67 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Metric Geometry (math.MG) #math.GR #math.MG #msc:20F67

paper · pdf · doi:10.48550/arxiv.math/0509355

35 pages, 2 figures

arxiv created 2005/09/15 · openalex publication_date 2005/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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