27 citations · 122 across the 44 of their papers we have counts for
6 papers · 1 filter
Negative curvature in automorphism groups of one-ended hyperbolic groups
Anthony Genevois
In this article, we show that some negative curvature may survive when taking the automorphism group of a finitely generated group. More precisely, we prove that the automorphism g…
Automorphisms of graph products of groups from a geometric perspective
Anthony Genevois, Alexandre Martin
This article studies automorphism groups of graph products of arbitrary groups. We completely characterise automorphisms that preserve the set of conjugacy classes of vertex groups…
Automorphisms of graph products of groups and acylindrical hyperbolicity
Anthony Genevois
This article is dedicated to the study of the acylindrical hyperbolicity of automorphism groups of graph products of groups. Our main result is that, if is a finite graph which…
Hyperbolic and cubical rigidities of Thompson's group V
Anthony Genevois
In this article, we state and prove a general criterion allowing us to show that some groups are hyperbolically elementary, meaning that every isometric action of one of these grou…
A note on nilpotent subgroups of automorphism groups of RAAGs
Javier Aramayona, Anthony Genevois
We observe that automorphism groups of right-angled Artin groups contain nilpotent non-abelian subgroups, namely the three-dimensional integer Heisenberg group, p…
Automorphism groups of cyclic products of groups
Anthony Genevois, Alexandre Martin
This article initiates a geometric study of the automorphism groups of general graph products of groups, and investigates the algebraic and geometric structure of automorphism grou…