#### Volume 12, issue 2 (2012)

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Free group automorphisms with parabolic boundary orbits

### Arnaud Hilion

Algebraic & Geometric Topology 12 (2012) 933–950
##### Abstract

For $N\ge 4$, we show that there exist automorphisms of the free group ${F}_{N}$ which have a parabolic orbit in $\partial {F}_{N}$. In fact, we exhibit a technology for producing infinitely many such examples.

##### Keywords
automorphism of free group, fixed point, symbolic dynamics
##### Mathematical Subject Classification 2010
Primary: 20E05, 20E36, 37B25, 37E15
Secondary: 20F65, 37B05
##### Publication
Received: 22 September 2011
Revised: 28 January 2012
Accepted: 28 January 2012
Published: 24 April 2012
##### Authors
 Arnaud Hilion Mathematiques LATP - UMR 7353 Aix-Marseille Université Avenue de l’escadrille Normandie-Niémen 13397 Marseille Cedex 20 France http://junon.u-3mrs.fr/hilion/