Embedding of hyperbolic groups into products of binary trees

Embedding of hyperbolic groups into products of binary trees

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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Veröffentlicht in:Inventiones mathematicae 2007-07, Vol.169 (1), p.153-192
Hauptverfasser: Buyalo, Sergei, Dranishnikov, Alexander, Schroeder, Viktor
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Embedding
Studies
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Beschreibung
Zusammenfassung: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.
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-007-0045-2