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Embedding of hyperbolic groups into products of binary trees

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We show that every Gromov hyperbolic group Γ admits a quasi-isometric embedding into the product of n+1 binary trees, where n=dim∂∞Γ is the topological dimension of the boundary at infinity of Γ.

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Authors and Affiliations

  1. St. Petersburg Dept., Steklov Math. Institute RAS, St. Petersburg, 191023, Russia

    Sergei Buyalo

  2. Dep. of Mathematics, University of Florida, 32611-8105, Gainesville, FL, USA

    Alexander Dranishnikov

  3. Institut für Mathematik, Universität Zürich, 8057, Zürich, Switzerland

    Viktor Schroeder

Authors
  1. Sergei Buyalo
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  2. Alexander Dranishnikov
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  3. Viktor Schroeder
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Correspondence to Sergei Buyalo.

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Buyalo, S., Dranishnikov, A. & Schroeder, V. Embedding of hyperbolic groups into products of binary trees. Invent. math. 169, 153–192 (2007). https://doi.org/10.1007/s00222-007-0045-2

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  • DOI: https://doi.org/10.1007/s00222-007-0045-2

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