  Filling length measures the length of the contracting closed loops in a
null-homotopy. The filling length function of Gromov for a finitely presented
group measures the filling length as a function of length of edge-loops in the
Cayley 2-complex. We give a bound on the filling length function in terms of
the log of an isoperimetric function multiplied by a (simultaneously
realisable) isodiametric function.
