Free group automorphisms with parabolic boundary orbits

Hilion, Arnaud¹

¹Mathematiques, LATP - UMR 7353 Aix-Marseille Université, Avenue de l’escadrille Normandie-Niémen, 13397 Marseille Cedex 20, France

Algebraic and Geometric Topology, Tome 12 (2012) no. 2, pp. 933-950

Résumé

For N ≥ 4, we show that there exist automorphisms of the free group FN which have a parabolic orbit in ∂FN. In fact, we exhibit a technology for producing infinitely many such examples.

Détail

DOI : 10.2140/agt.2012.12.933

Classification : 20E05, 20E36, 37B25, 37E15, 20F65, 37B05
Keywords: automorphism of free group, fixed point, symbolic dynamics

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