Filling in solvable groups and in lattices in semisimple groups

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We prove that the filling order is quadratic for a large class of solvable groups and asymptotically quadratic for all Q-rank one lattices in semisimple groups of R-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.
7 figures

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Differential Geometry, Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/62361

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110107
 http://arxiv.org/abs/math/0110107

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arXiv