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Sur les immeubles hyperboliques (On hyperbolic buildings) |
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| Authors: | Damien Gaboriau Frédéric Paulin |
| Institution: | (1) Unité de Mathématiques Pures et Appliquées, UMR 128 CNRS, Ecole Normale Supérieure de Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France;(2) Laboratoire de Topologie et Dynamique, URA 1169 CNRS, Bât. 425, Université Paris XI, 91405 Orsay, France |
| Abstract: | The aim of this paper is to give a geometric approach to Tits'  amalgam method to construct buildings and to initiate a study of hyperbolic buildings, i.e. whose types are reflexion systems of the real hyperbolic space. We construct lots of examples and study their cohomology at infinity. We construct CAT(–1) polyhedral complexes having big discrete parabolic groups of isometries. |
| Keywords: | hyperbolic buildings complex groups Coxeter groups discrete parabolic groups |
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