Filling in solvable groups and in lattices in semisimple groups

Cornelia Druţu

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Filling in solvable groups and in lattices in semisimple groups

Cornelia Druţu

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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 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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BibTeX RIS

Cornelia Druţu. 2001-10-10. Filling in solvable groups and in lattices in semisimple groups. https://arxiv.org/abs/math/0110107

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