224 citations · 815 across the 39 of their papers we have counts for
41 papers
Algebraic groups over free and hyperbolic groups
Vincent Guirardel, Chloé Perin
We define an algebraic group over a group to be a variety - that is, a subset of defined by equations over - endowed with a group law whose coordinates can be express…
Finitely generated simple sharply 2-transitive groups
Simon André, Vincent Guirardel
We construct the first examples of infinite sharply 2-transitive groups which are finitely generated. Moreover, we construct such a group that has Kazhdan property (T), is simple,…
Measure equivalence rigidity of
Vincent Guirardel, Camille Horbez
We prove that for every , the group of outer automorphisms of a free group of rank is superrigid from the point of view of measure equivalence: any…
Towers and the first-order theory of hyperbolic groups
Vincent Guirardel, Gilbert Levitt, Rizos Sklinos
This paper is devoted to the first-order theory of torsion-free hyperbolic groups. One of its purposes is to review some results and to provide precise and correct statements and d…
Cocycle superrigidity from higher rank lattices to
Vincent Guirardel, Camille Horbez, Jean Lécureux
We prove a rigidity result for cocycles from higher rank lattices to and more generally to the outer automorphism group of a torsion-free hyperbolic group. More…
Surface Groups In The Group Of Germs Of Analyticdiffeomorphisms In One Variable
Serge Cantat, Dominique Cerveau, Vincent Guirardel +1
We construct embeddings of surface groups into the group of germs of analytic diffeomorphisms in one variable.