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We show that E * (P (n) * ), the E-homology of the Ω-spectrum for P (n), is an E * free Hopf ring for E a complex oriented theory with In sent to 0. This covers the cases P (q) * (P (n) * ) and K(q) * (P (n) * ), q ≥ n. The generators of the Hopf ring are those necessary for the stable result. The motivation for this paper is to show that P (n) satisfies all of the conditions for the machinery of unstable cohomology operations set up in [BJW95] . This can then be used to produce splittingsdoi:10.4153/cjm-1996-054-2 fatcat:o7jzre3mpvce5gahwu767b5naa