Free group automorphisms with parabolic boundary orbits

Hilion, Arnaud

doi:10.2140/agt.2012.12.933

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Free group automorphisms with parabolic boundary orbits

Arnaud Hilion

Algebraic & Geometric Topology 12 (2012) 933–950

DOI: 10.2140/agt.2012.12.933

Abstract

For $N \geq 4$ , 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

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 Avenue de l’escadrille Normandie-Niémen 13397 Marseille Cedex 20 France
http://junon.u-3mrs.fr/hilion/

Volume 12, issue 2 (2012)