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

Geometric Topology 2007-05-23 v1

Abstract

The proof of the Tits alternative for Out(Fn)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(Fn)Out(F_n) consisting of unipotent automorphisms can be conjugated into an upper-triangular subgroup (this is interpreted via train-tracks).

Keywords

Cite

@article{arxiv.math/9712218,
  title  = {The Tits Alternative for $Out(F_n)$ II: A Kolchin Type Theorem},
  author = {Mladen Bestvina and Mark Feighn and Michael Handel},
  journal= {arXiv preprint arXiv:math/9712218},
  year   = {2007}
}

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50 pages