A hyperbolic Out($F_n$)-complex

Mladen Bestvina; Mark Feighn

doi:10.4171/ggd/74

JournalsggdVol. 4, No. 1pp. 31–58

A hyperbolic Out( $F_{n}$ )-complex

Mladen Bestvina
University of Utah, Salt Lake City, USA
Mark Feighn
Rutgers University, Newark, USA

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Abstract

For any finite collection $f_{i}$ of fully irreducible automorphisms of the free group $F_{n}$ we construct a connected $δ$ -hyperbolic Out( $F_{n}$ )-complex in which each $f_{i}$ has positive translation length.

Cite this article

Mladen Bestvina, Mark Feighn, A hyperbolic Out( $F_{n}$ )-complex. Groups Geom. Dyn. 4 (2010), no. 1, pp. 31–58

DOI 10.4171/GGD/74