On the Maximal Subgroup of Automorphisms of a Free Group FN which Fix a Point of the Boundary  FN

Arnaud Hilion (1)

1 I2M - Institut de Mathématiques de Marseille

We prove that the stabilizer of an attractive fixed point in ∂F N of an irreducible with irreducible powers automorphism of a free group F N 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(F 2) which fix a point of the boundary ∂F 2 .

Domaines: Théorie des groupes [math.GR]

Arnaud Hilion. On the Maximal Subgroup of Automorphisms of a Free Group FN which Fix a Point of the Boundary  FN. International Mathematics Research Notices, 2007, ⟨10.1093/imrn/rnm066⟩. ⟨hal-01218379⟩