S. M. Gersten

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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(More)
One can decide effectively when two finitely generated subgroups of a finitely generated free group F are equivalent under an automorphism of F. The subgroup of automorphisms of F mapping a given finitely generated subgroup S of F into a conjugate of S is finitely presented. In two famous articles [9, 10] which appeared in 1936, J. H. C. Whitehead, using(More)