Geodesic
Stable homology of automorphism groups of free groups
Søren Galatius 1
1 Stanford University<br/>Stanford, CA
Annals of mathematics, Tome 173 (2011) no. 2, pp. 705-768.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Homology of the group $\operatorname{Aut}(F_n)$ of automorphisms of a free group on $n$ generators is known to be independent of $n$ in a certain stable range. Using tools from homotopy theory, we prove that in this range it agrees with homology of symmetric groups. In particular we confirm the conjecture that stable rational homology of $\operatorname{Aut}(F_n)$ vanishes.
DOI : 10.4007/annals.2011.173.2.3

Søren Galatius  1

1 Stanford University<br/>Stanford, CA 
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Søren Galatius . Stable homology of automorphism groups of free groups. Annals of mathematics, Tome 173 (2011) no. 2, pp. 705-768. doi : 10.4007/annals.2011.173.2.3. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.2.3/

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