2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117909If F is a finitely generated free group and ϕis an automorphism of F then the mapping torus of ϕadmits a quadratic isoperimetric inequality. This is the third and final paper in a series proving this theorem. The first two were math.GR/0211459 and math.GR/0507589.73 pagesGroup Theory20F65; 20F06, 20F28, 57M07text