Rational homology of $\text{\rm Aut}$($F_n$)

We compute the rational homology in dimensions less than seven of the group of automorphisms of a finitely generated free group of arbitrary rank. The only non-zero group in this range is $H_4(\text{\rm Aut}(F_4);\Q)$, which is one-dimensional.

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Published 1 January 1998