3 papers
math.GR2023
A new class of a-T-menable free-by-free groups
François Gautero
We prove that a semi-direct product of two finite rank free groups and such that acts on by polynomially growing automorphisms acts properly isometrically o…
math.GR2010
A non-trivial example of a free-by-free group with the Haagerup property
François Gautero
The aim of this note is to prove that the group of Formanek-Procesi acts properly isometrically on a finite dimensional CAT(0) cube complex. This gives a first example of a non-lin…
math.PR2009
Poisson boundary of groups acting on real trees
François Gautero, Frédéric Mathéus
We give a geometric description of the Poisson boundaries of certain extensions of free and hyperbolic groups. In particular, we get a full description of the Poisson boundaries of…