Hyperbolic automorphisms of free groups
classification
🧮 math.GR
keywords
freehyperbolicautomorphismautomorphismsclassesconjugacyfinitelygenerated
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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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