Remplissage dans des réseaux de Q-rang 1 et dans des groupes résolubles

Cornelia Druţu

Vol. 185 (1998), No. 2, 269–305

DOI: 10.2140/pjm.1998.185.269

Abstract

We prove that for certain solvable groups and for certain non-uniform irreducible lattices of ℚ-rank 1 in semisimple groups of noncompact type without compact factors the order of the Dehn function is “asymptotically” less than cubic. The main tool we are using is the asymptotic cone.

Milestones

Received: 5 March 1997

Revised: 4 August 1997

Published: 1 October 1998