Rational homology of aut(F-n)

Authors
Hatcher, A Vogtmann, K
Citation
A. Hatcher et K. Vogtmann, Rational homology of aut(F-n), MATH RES LE, 5(6), 1998, pp. 759-780
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
5
Issue
6
Year of publication
1998
Pages
759 - 780
Database
ISI
SICI code
1073-2780(199811)5:6<759:RHOA>2.0.ZU;2-6
Abstract
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 H4(Aut(F4); Q), which is one-dimensio nal.