2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152877A study of triangulations of cycles in the Cayley diagrams of finitely generated groups leads to a new geometric characterization of hyperbolic groups.AMS-Tex, 9 pages, no figures. To be published in Contemporary Mathematics, The Mathematical Legacy of Wilhelm MagnusGroup Theorytext