Homotopy classification of 4-manifolds with finite abelian 2-generator fundamental groups

Abstract

We show that for an oriented 4-dimensional Poincaré complex with finite fundamental group, whose 2-Sylow subgroup is abelian with at most 2 generators, the homotopy type is determined by its quadratic 2-type.

17 pages. Minor changes following a referee report. To appear in Mathematical Proceedings of the Cambridge Philosophical Society