Stable homology of automorphism groups of free groups

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dc.creatorGalatius, Soren
dc.date2006-10-06
dc.date2008-02-18
dc.date.accessioned2026-07-07T09:21:17Z
dc.date.available2026-07-07T09:21:17Z
dc.descriptionHomology 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.
dc.description60 pages; 3 figures; v3 has a few typos fixed (one is in definition 2.4(i))
dc.identifierhttps://arxiv.org/abs/math/0610216
dc.identifierhttp://arxiv.org/abs/math/0610216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154972
dc.subjectAlgebraic Topology
dc.subjectGroup Theory
dc.subject55P42; 20J06
dc.titleStable homology of automorphism groups of free groups
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