English

Hyperbolic automorphisms of free groups

Group Theory 2007-05-23 v3

Abstract

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

Keywords

Cite

@article{arxiv.math/9906008,
  title  = {Hyperbolic automorphisms of free groups},
  author = {Peter Brinkmann},
  journal= {arXiv preprint arXiv:math/9906008},
  year   = {2007}
}

Comments

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