The Tits alternative for Out(F_n) I: Dynamics of exponentially-growing automorphisms

1997/12/31 by Mladen Bestvina, Mark Feighn, Michael Handel · 5 citations
Mathematics · #math.GT

paper · pdf

published as Ann. of Math. (2) 151 (2000), no. 2, 517-623 · 107 pages, published version

arxiv created 2000/03/01 · arxiv updated 2009/11/30

Abstract

The Tits alternative for Out(F_n) is reduced to the case where all elements in the subgroup under consideration grow polynomially.

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Related

• The Tits Alternative for Out(F_n) II: A Kolchin Type Theorem
• Polynomial growth and subgroups of Out(F_{\tt n})
• The topology of out(F_n)
• Tits Alternative for the 3-dimensional tame automorphism group
• Subgroup decomposition in Out(F_n), Part II: A relative Kolchin theorem