Filling Length in Finitely Presentable Groups

Details Filling Length in Finitely Presentable Groups Filling Length in Finitely Presentable Groups

2000-08-03

arxiv.org/abs/math/0008030v1

Geometriae Dedicata, 92(1), pages 41-58, July 2002

Mathematics

Group Theory

10 pages, 3 figures

Scientific paper

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.

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