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We show that the simply-connected four-manifolds which admit locally linear,homologically trivial actions by rank two finite abelian groups arehomeomorphic to connected sums of CP^2, -CP^2, and S^2 x S^2 (with oneexception: pseudofree Z_3 x Z_3 actions on the Chern manifold), and alsoestablish an equivariant decompostion theorem.  This generalizes results from a 1970 paper by Orlik and Raymond, andcomplements more recent work of Fintushel, Yoshida, and Huck on S^1 actions. Ineach case, the simply-connected four-manifolds which support such actions areessentially the same.

Four-manifolds which admit {Z_ p x Z_ p } actions