Filling in lattices of \(\mathbb{Q}\)-rank 1 and in solvable groups (Q1306233)

With the help of asymptotic cones it is proved 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.