Hyperbolic Coxeter groups of large dimension

Hyperbolic Coxeter groups of large dimension

We construct examples of Gromov hyperbolic Coxeter groups of arbitrarily large dimension. We also extend Vinberg's theorem to show that if a Gromov hyperbolic Coxeter group is a virtual Poincaré duality group of dimension n, then n

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Veröffentlicht in:Commentarii mathematici Helvetici 2003-01, Vol.78 (3), p.555-583
Hauptverfasser: Januszkiewicz, Tadeusz, Świątkowski, Jacek
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Group theory and generalizations
Manifolds and cell complexes
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Beschreibung
Zusammenfassung:We construct examples of Gromov hyperbolic Coxeter groups of arbitrarily large dimension. We also extend Vinberg's theorem to show that if a Gromov hyperbolic Coxeter group is a virtual Poincaré duality group of dimension n, then n
ISSN:0010-2571
1420-8946
DOI:10.1007/s00014-003-0763-z