Filling in solvable groups and in lattices in semisimple groups
Differential Geometry
2007-05-23 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.math/0110107,
title = {Filling in solvable groups and in lattices in semisimple groups},
author = {Cornelia Druţu},
journal= {arXiv preprint arXiv:math/0110107},
year = {2007}
}
Comments
7 figures