We compute the groups H∗(Aut(Fn);M) and H∗(Out(Fn);M) in a stable range, where M is obtained by applying a Schur functor to HQ or H∗Q , respectively the first rational homology and cohomology of Fn . The answer may be described in terms of stable multiplicities of irreducibles in the plethysm Symk∘Syml of symmetric powers. We also compute the stable integral cohomology groups of Aut(Fn) with coefficients in H or H∗ .
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