## Fractal Representation of the Attractive Lamination of an Automorphism of the Free Group

- Pierre Arnoux, Valérie Berthé, ARNAUD HILION, A. Siegel
- 2006

@inproceedings{Hilion2006OnTM, title={On the Maximal Subgroup of Automorphisms of a Free Group FN which Fix a Point of the Boundary FN}, author={Arnaud Hilion}, year={2006} }

- Published 2006

We prove that the stabilizer of an attractive fixed point in ∂FN of an irreducible with irreducible powers automorphism of a free group FN is virtually cyclic. The proof uses the attractive lamination of such an automorphism. We also establish the complete list of all possible maximal subgroups of Aut(F2) which fix a point of the boundary ∂F2.