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Geometric & Functional Analysis GAFA

, Volume 10, Issue 5, pp 1071–1089 | Cite as

Hyperbolic automorphisms of free groups

  • P. Brinkmann

Abstract.

We prove that an automorphism \( {\not o} : F \to F \) of a finitely generated free group F is hyperbolic in the sense of Gromov if it has no nontrivial periodic conjugacy classes. This result was previously claimed (but not proved) in [BF1].

Keywords

Free Group Conjugacy Class Hyperbolic Automorphism Periodic Conjugacy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag, Basel 2000

Authors and Affiliations

  • P. Brinkmann
    • 1
  1. 1.Department of Mathematics, University of Illinois at Urbana—Champaign, 273 Altgeld Hall, 1409 W. Green Street, Urbana, IL 61801, USA, e-mail: brinkman@math.uiuc.eduUS

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