2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122870This paper gives a proof that the fundamental group of a class of closed orientable 3-manifolds constructed from three injective handlebodies has a solvable word problem. This is done by giving an algorithm to decide if a closed curve in the manifold is null-homotopic. Non-Haken and non-Seifert fibered examples are constructed by performing Dehn surgery on a class of two-bridge knots.11 pages, 8 figuresGeometric Topology57Mtext