3 papers
math.GR2023
Growth and displacement of free product automorphisms
Matthew Collins
It is well known for an irreducible free group automorphism that its growth rate is equal to the minimal Lipschitz displacement of its action on Culler-Vogtmann space. This follows…
math.GR2023
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…
math.GR2023
Fixed points of irreducible, displacement one automorphisms of free products
Matthew Collins
We consider the action of outer automorphisms on the deformation space of -trees given by a free product decomposition of a group . We show that an irreducible,…