PreprintFinitely dominated subnormal covers of 4manifoldsJonathan A. HillmanAbstractLet M be a closed 4manifold which has a finitely dominated covering space associated to a subnormal subgroup G of infinite index in π=π_{1}(M). If G is FP_{3}, has finitely many ends and π is virtually torsion free then either M is aspherical or its universal covering space is homotopy equivalent to S^{2} or S^{3}. In the aspherical case such a subgroup is usually Z, a surface group or a PD_{3}group. [This is a revision of a 1994 Sydney Research Report].Keywords: finitely dominated, 4manifold, Poincaré duality, subnormal. AMS Subject Classification: Primary 57N13.
