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Free group automorphisms with parabolic boundary orbits

Arnaud Hilion

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

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.

Keywords
automorphism of free group, fixed point, symbolic dynamics
Mathematical Subject Classification 2010
Primary: 20E05, 20E36, 37B25, 37E15
Secondary: 20F65, 37B05
References
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
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