Groups, Geometry, and Dynamics

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Volume 4, Issue 1, 2010, pp. 31–58
DOI: 10.4171/GGD/74

A hyperbolic Out(Fn)-complex

Mladen Bestvina[1] and Mark Feighn[2]

(1) Department of Mathematics, University of Utah, 155 South 1400 East, JWB 233, UT 84112-0090, Salt Lake City, USA
(2) Department of Mathematics and Computer Science, Rutgers University, 101 Warren Street, NJ 07102, Newark, USA

For any finite collection fi of fully irreducible automorphisms of the free group Fn we construct a connected δ-hyperbolic Out(Fn)-complex in which each fi has positive translation length.

Keywords: Outer space, measured geodesic currents

Bestvina Mladen, Feighn Mark: A hyperbolic Out(Fn)-complex. Groups Geom. Dyn. 4 (2010), 31-58. doi: 10.4171/GGD/74