32 citations · 180 across the 25 of their papers we have counts for
12 papers · 1 filter
The Conjugacy Problem for
François Dahmani, Stefano Francaviglia, Armando Martino +1
We present a solution to the Conjugacy Problem in the group of outer-automorphisms of , a free group of rank 3. We distinguish according to several computable invariants, such…
On the action of relatively irreducible automorphisms on their train tracks
Stefano Francaviglia, Armando Martino, Dionysios Syrigos
Let be a group and let be a free factor system of , namely a free splitting of as . In this paper, we study the set of train track po…
The mimimally displaced set of an irreducible automorphism of is co-compact
Stefano Francaviglia, Armando Martino, Dionysios Syrigos
We study the minimally displaced set of irreducible automorphisms of a free group. Our main result is the co-compactness of the minimally displaced set of an irreducible automorphi…
The minimally displaced set of an irreducible automorphism is locally finite
Stefano Francaviglia, Armando Martino, Dionysios Syrigos
We prove that the minimally displaced set of a relatively irreducible automorphism of a free splitting, situated in a deformation space, is uniformly locally finite. The minimally…
Displacements of automorphisms of free groups II: Connectivity of level sets and decision problems
Stefano Francaviglia, Armando Martino
This is the second of two papers in which we investigate the properties of displacement functions of automorphisms of free groups (more generally, free products) on the Culler-Vogt…
Displacements of automorphisms of free groups I: Displacement functions, minpoints and train tracks
Stefano Francaviglia, Armando Martino
This is the first of two papers in which we investigate the properties of the displacement functions of automorphisms of free groups (more generally, free products) on Culler-Vogtm…