Filling in solvable groups and in lattices in semisimple groups |
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Authors: | Cornelia Dru?u |
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Affiliation: | UFR de Mathématiques et UMR CNRS no. 8524, Université de Lille I, F-59655 Villeneuve d'Ascq, France |
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Abstract: | We prove that the filling order is quadratic for a large class of solvable groups and asymptotically quadratic for all -rank one lattices in semisimple groups of -rank at least 3. As a byproduct of auxiliary results we give a shorter proof of the theorem on the nondistorsion of horospheres providing also an estimate of a nondistorsion constant. |
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Keywords: | 20F10 20F65 22E25 22E40 51E24 |
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