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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Abstract
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 ΠFn | a
(w) = w} has rank rkFixa£ n.