2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77004A free action of the direct product of two copies of the symmetric group on 3 elements on the cartesian product of two copies of the 3-sphere is constructed. This nonlinear action is constructed using surgery. The action provides a counterexample to a conjecture of Lewis made in 1968.Geometric TopologyAlgebraic Topologytext