2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137062It is proven that if a finitely presented group is one ended it has asymptotic dimension bigger than one. It follows that finitely presented groups with asdim 1 are virtually free. A counterexample is given for the finitely generated case.7 pages,no figuresAlgebraic TopologyAlgebraic GeometryGeometric Topologytext