Hyperbolic automorphisms of free groups

Abstract

We prove that an automorphism $\varphi :F\to F$ of a finitely generated free group $F$ is hyperbolic in the sense of Gromov if it has no nontrivial periodic conjugacy classes.

arXiv comment22 pages Revised according to referee's suggestions, added some details

References in corpus (1)

• The Tits alternative for Out(F_n) I: Dynamics of exponentially-growing automorphisms