Hyperbolic automorphisms of free groups

1999/06/30 by Peter Brinkmann · 4 citations
Mathematics · #math.GR

paper · pdf

published as Geometric And Functional Analysis 10:5, 2000, 1071-1089 · 22 pages Revised according to referee's suggestions, added some details

arxiv created 1999/09/28 · arxiv updated 2009/11/30

Abstract

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

Cited by

• Embedding finitely generated free-by-cyclic groups in finitely generated free-by-cyclic groups
• The geometry of subgroups of mapping tori of free groups
• Characterizing hierarchically hyperbolic free by cyclic groups
• On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups

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