2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67615We show that if a knot has a minimal spanning surface that admits certain Gabai disks, then this knot has Property P. As one of the applications we extend and simplify a recent result of Menasco and Zhang that closed 3-braid knots have Property P. Other applications are given.17 pages, 12 figuresGeometric Topology57M25; 57M27; 57M50text