Filling in solvable groups and in lattices in semisimple groups

2001/10/10 by Cornelia Druţu, Druţu, Cornelia · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Group Theory (math.GR) #math.DG #math.GR

paper · pdf · doi:10.48550/arxiv.math/0110107

7 figures

arxiv created 2001/10/10 · arxiv updated 2009/11/30

Abstract

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.

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