Actions of higher-rank lattices on free groups

Martin R. Bridson and Richard D. Wade

Posted on ArXiv, Monday 19 April 2010

If $G$ is a semisimple Lie group of real rank at least 2 and $\Gamma$ is an irreducible lattice in $G$, then every homomorphism from $\Gamma$ to the outer automorphism group of a finitely generated free group has finite image.

10 pages, no figures.