The Tits Alternative for Out(Fn) II: A Kolchin Type Theorem

Abstract

The proof of the Tits alternative for Out(Fn) is completed. The main tool is a Kolchin type theorem, proved in this paper. It states that a finitely generated subgroup of Out(Fn) consisting of unipotent automorphisms can be conjugated into an upper-triangular subgroup (this is interpreted via train-tracks).

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