Index realization for automorphisms of free groups

Thierry Coulbois (1) , Martin Lustig (1)

1 I2M - Institut de Mathématiques de Marseille

The goal of this paper is to introduce a new tool, called long turns, which is a useful addition to the train track technology for auto-morphisms of free groups, in that it allows one to control periodic INPs in a train track map and hence the index of the induced automorphism.

Mots clés: free group automorphisms, train tracks, index realization, Gate structure

Domaines: Théorie des groupes [math.GR]

Thierry Coulbois, Martin Lustig. Index realization for automorphisms of free groups. 2017. ⟨hal-01479239⟩