Filling in solvable groups and in lattices in semisimple groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62361We 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.7 figuresDifferential GeometryGroup TheoryFilling in solvable groups and in lattices in semisimple groupstext