82 citations · 281 across the 20 of their papers we have counts for
25 papers
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…
Random subgroups, automorphisms, splittings
Vincent Guirardel, Gilbert Levitt
We show that, if is a random subgroup of a finitely generated free group , only inner automorphisms of may leave invariant. A similar result holds for random sub…
Elementary equivalence vs commensurability for hyperbolic groups
Vincent Guirardel, Gilbert Levitt, Rizos Sklinos
We study to what extent torsion-free (Gromov)-hyperbolic groups are elementarily equivalent to their finite index subgroups. In particular, we prove that a hyperbolic limit group e…
JSJ decompositions of groups
Vincent Guirardel, Gilbert Levitt
This is an account of the theory of JSJ decompositions of finitely generated groups, as developed in the last twenty years or so. We give a simple general definition of JSJ decompo…
Mapping tori of free group automorphisms, and the Bieri-Neumann-Strebel invariant of graphs of groups
Christopher H. Cashen, Gilbert Levitt
Let be the mapping torus of a polynomially growing automorphism of a finitely generated free group. We determine which epimorphisms from to have finitely gener…
McCool groups of toral relatively hyperbolic groups
Vincent Guirardel, Gilbert Levitt
The outer automorphism group Out(G) of a group G acts on the set of conjugacy classes of elements of G. McCool proved that the stabilizer of a finite set of conju…