Stable homology of automorphism groups of free groups

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Homology of the group 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, Aut(F_n) has no stable rational homology, settling a conjecture of Hatcher and Vogtmann.
60 pages; 3 figures; v3 has a few typos fixed (one is in definition 2.4(i))

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Algebraic Topology, Group Theory, 55P42; 20J06

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http://salesiana.dossiersoluciones.com/handle/123456789/154972

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610216
 http://arxiv.org/abs/math/0610216

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arXiv