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On a theorem by Farb and Masur
Authors:Koji Fujiwara
Institution:Mathematical Institute, Tohoku University, Sendai, 980-8578 Japan
Abstract:

Farb and Masur showed that an irreducible lattice in a semisimple Lie group of rank at least two always has finite image by a homomorphism into the outer automorphism group of a closed, orientable surface group. We point out that their theorem extends to the outer automorphism groups of a certain class of torsion-free, freely indecomposable word-hyperbolic groups.

Keywords:Word-hyperbolic groups  JSJ-decomposition  lattices in higher-rank Lie groups  mapping class groups
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