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[X,Y]^G_*\n  In joint work with Shipley (arxiv:1101.2511), it is shown that the Adams spectral sequence can be lifted to a Quillen equivalence\n  Rational-Gspectra = DG-A (G).\n  The purpose of the present paper is to prove that A(G) has injective dimension precisely r, and to construct certain torsion 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