2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61987We relate the Andrews-Curtis conjecture to the triviality problem for balanced presentations of groups using algorithms from 3-manifold topology. Implementing this algorithm could lead to counterexamples to the Andrews-Curtis conjecture.12 pages, 7 figuresGroup TheoryGeometric Topology20F05; 57M07On the Andrews-Curtis conjecture and algorithms from topologytext