224 citations · 593 across the 21 of their papers we have counts for
21 papers
The Conjugacy Problem for
François Dahmani, Stefano Francaviglia, Armando Martino +1
We present a solution to the Conjugacy Problem in the group of outer-automorphisms of , a free group of rank 3. We distinguish according to several computable invariants, such…
Dehn filling Dehn twists
François Dahmani, Mark Hagen, Alessandro Sisto
Let be the genus-- oriented surface with punctures, with either or . We show that is acylindrically hyperbolic where is the norma…
Property for acylindrically hyperbolic groups
Carolyn R. Abbott, François Dahmani
We prove that every acylindrically hyperbolic group that has no non-trivial finite normal subgroup satisfies a strong ping pong property, the property: for any finite c…
Growth of quasiconvex subgroups
François Dahmani, David Futer, Daniel T. Wise
We prove that non-elementary hyperbolic groups grow exponentially more quickly than their infinite index quasiconvex subgroups. The proof uses the classical tools of automatic stru…
Height, Graded Relative Hyperbolicity and Quasiconvexity {\it (with Corrigendum)}
Francois Dahmani, Mahan Mj
We introduce the notions of geometric height and graded (geometric) relative hyperbolicity in this paper. We use these to characterize quasiconvexity in hyperbolic groups, relative…
Deciding Isomorphy using Dehn fillings, the splitting case
François Dahmani, Nicholas Touikan
We solve Dehn's isomorphism problem for virtually torsion-free relatively hyperbolic groups with nilpotent parabolic subgroups. We do so by reducing the isomorphism problem to thre…