2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135204We provide the details for Gromov's proof of Stallings' theorem on groups with infinitely many ends using harmonic functions. The main technical result of the paper is a compactness theorem for a certain family of harmonic functions.4 figuresGroup TheoryDifferential GeometryGeometric Topology53C43, 20E06, 20F65text