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

Details The Tits Alternative for $Out(F_n)$ II: A Kolchin Type Theorem The Tits Alternative for $Out(F_n)$ II: A Kolchin Type Theorem

1997-12-03

arxiv.org/abs/math/9712218v1

Mathematics

Geometric Topology

50 pages

Scientific paper

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

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