Hyperbolic automorphisms of free groups

Details Hyperbolic automorphisms of free groups Hyperbolic automorphisms of free groups

1999-06-02

arxiv.org/abs/math/9906008v3

Geometric And Functional Analysis 10:5, 2000, 1071-1089

Mathematics

Group Theory

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

Scientific paper

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

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