Embedding of hyperbolic groups into products of binary trees |
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| Authors: | Sergei Buyalo Alexander Dranishnikov Viktor Schroeder |
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| Institution: | 1.St. Petersburg Dept.,Steklov Math. Institute RAS,St. Petersburg,Russia;2.Dep. of Mathematics,University of Florida,Gainesville,USA;3.Institut für Mathematik,Universit?t Zürich,Zürich,Switzerland |
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| Abstract: | 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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