2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214660We establish a cubic lower bound on the Dehn function of a certain finitely presented subgroup of a direct product of 3 free groups.9 pages, 1 figure. Minor modifications only: typos corrected, scope of Theorem 5.1 reduced to simplify notation, bibliography updatedGroup TheoryGeometric Topology20F65 (Primary), 20E05, 20F06 (Secondary)A Subgroup of a Direct Product of Free Groups whose Dehn Function has a Cubic Lower Boundtext