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On some convex cocompact groups in real hyperbolic space

Marc Desgroseilliers and Frédéric Haglund
Geometry & Topology 17 (2013) 2431–2484
DOI: 10.2140/gt.2013.17.2431
Abstract

We generalize to a wider class of hyperbolic groups a construction by Misha Kapovich yielding convex cocompact representations into real hyperbolic space.

Keywords
$\mathrm{CAT}(0)$ polygonal complexes, Coxeter groups, separable subgroups, convex cocompact representations, real hyperbolic spaces
Mathematical Subject Classification 2010
Primary: 20E26, 20F67, 22E40, 51F15, 57M20
Secondary: 20F55, 20F65, 20H10, 53C23
References
Publication
Received: 13 February 2012
Revised: 3 June 2013
Accepted: 21 January 2013
Published: 23 August 2013
Proposed: Jean-Pierre Otal
Seconded: Danny Calegari, Walter Neumann
Authors
Marc Desgroseilliers
Laboratoire de théorie de l’information
École Polytechnique Fédérale de Lausanne
INR 140 (Bâtiment INR)
Station 14
CH-1015 Lausanne
Switzerland
Frédéric Haglund
Laboratoire de Mathématiques
Université de Paris XI (Paris-Sud)
91405 Orsay
France