, Volume 7, Issue 2, pp 215-244

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.

Submitted: February 1996, revised version: November 1996