Filling in solvable groups and in lattices in semisimple groups

Journal article

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.

Authors: Druţu, C

• Publication status: Published
• Journal: TOPOLOGY
• Volume: 43
• Issue: 5
• Pages: 983-1033
• Publication date: 2001-10-10
• DOI: 10.1016/j.top.2003.11.004
• ISSN: 0040-9383
• Language: English
• Keywords: math.GR; math.DG