Geometric & Functional Analysis GAFA

, Volume 7, Issue 2, pp 215–244 | Cite as

Laminations, trees, and irreducible automorphisms of free groups

  • M. Bestvina
  • M. Feighn
  • M. Handel


We examine the action of Out(F n ) on the set of (irreducible) laminations. Consequences include a special case of the Tits alternative for Out(F n ), the discreteness of certain naturally arising group actions on trees, and word hyperbolicity of certain semidirect products.


Free Group Group Action Semidirect Product Irreducible Automorphism 
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Copyright information

© Birkhäuser Verlag, Basel, 1997

Authors and Affiliations

  • M. Bestvina
    • 1
  • M. Feighn
    • 2
  • M. Handel
    • 3
  1. 1.Mladen Bestvina, Dept. of Math., University of Utah, Salt Lake City, UT 84112, USA e-mail: bestvina@math.utah.eduUS
  2. 2.Mark Feighn, Dept. of Math., Rutgers University, Newark, NJ 07102, USA e-mail: feighn@andromeda.rutgers.eduUS
  3. 3.Michael Handel, Dept. of Math., CUNY, Lehman College, Bronx, NY 10468, USA e-mail: chflc@cunyvm.cuny.eduUS

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