New York Journal of Mathematics
Volume 22 (2016) 191-197


Laurent Bartholdi

The rational homology of the outer automorphism group of F7

view    print

Published: February 15, 2016
Keywords: Outer automorphism group; graph homology; free group
Subject: 20F28, 20J06, 20F65, 20E05

We compute the homology groups H(Out(F7);Q) of the outer automorphism group of the free group of rank 7.

We produce in this manner the first rational homology classes of Out(Fn) that are neither constant (*=0) nor Morita classes (*=2n-4).


Partially supported by ANR grant ANR-14-ACHN-0018-01

Author information

École Normale Supérieure, Paris and Georg-August-Universität zu Göttingen