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Laminations, trees, and irreducible automorphisms of free groups

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Abstract.

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.

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Authors and Affiliations

  1. Mladen Bestvina, Dept. of Math., University of Utah, Salt Lake City, UT 84112, USA e-mail: bestvina@math.utah.edu, , , , , , US

    M. Bestvina

  2. Mark Feighn, Dept. of Math., Rutgers University, Newark, NJ 07102, USA e-mail: feighn@andromeda.rutgers.edu, , , , , , US

    M. Feighn

  3. Michael Handel, Dept. of Math., CUNY, Lehman College, Bronx, NY 10468, USA e-mail: chflc@cunyvm.cuny.edu, , , , , , US

    M. Handel

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  1. M. Bestvina
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  2. M. Feighn
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  3. M. Handel
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Submitted: February 1996, revised version: November 1996

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Bestvina, M., Feighn, M. & Handel, M. Laminations, trees, and irreducible automorphisms of free groups. GAFA, Geom. funct. anal. 7, 215–244 (1997). https://doi.org/10.1007/PL00001618

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  • DOI: https://doi.org/10.1007/PL00001618

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