A dendrological proof of the Scott conjecture for automorphisms of free groups

    D. Gaboriau, G. Levitt, M. Lustig

    Article publié :

    Proc. Edinburgh Math. Soc. 41 no. 2 (1998) 325-332.

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    In this note we give a short alternative proof of the following much celebrated result of Bestvina-Handel, conjectured earlier by Scott:

    Theorem For every automorphism a of a free group Fn of rank n>1 the fixed subgroup Fixa= {w Fn | a (w) = w} has rank rkFix n.