Filling in solvable groups and in lattices in semisimple groups

Details Filling in solvable groups and in lattices in semisimple groups Filling in solvable groups and in lattices in semisimple groups

2001-10-10

arxiv.org/abs/math/0110107v1

Mathematics

Differential Geometry

7 figures

Scientific paper

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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