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Isoperimetric inequalities for lattices in semisimple lie groups of rank 2
Authors:E Leuzinger  C Pittet
Institution:(1) Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland;(2) Laboratoire de Mathématiques, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse-Cedex, France
Abstract:LetG be a connected semisimple Lie group with finite center. Let Gcy be an irreducible non-uniform lattice inG. We show that if the real rank ofG is 2, then the Dehn (or filling) function of Gcy is exponential.
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