32 citations · 95 across the 26 of their papers we have counts for
28 papers
Length functions on groups and actions on graphs
Matthew Collins, Armando Martino
We study generalisations of Chiswell's Theorem that -hyperbolic Lyndon length functions on groups always arise as based length functions of the the group acting isometrically on…
Centralisers of linear growth automorphisms of free groups
Naomi Andrew, Armando Martino
In this note we investigate the centraliser of a linearly growing element of (that is, a root of a Dehn twist automorphism), and show that it has a finite index…
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…
Free-by-cyclic groups, automorphisms and actions on nearly canonical trees
Naomi Andrew, Armando Martino
We study the automorphism groups of free-by-cyclic groups and show these are finitely generated in the following cases: (i) when defining automorphism has linear growth and (ii) wh…
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…