38 citations · 76 across the 5 of their papers we have counts for
5 papers
Reducing the conjugacy problem for relatively hyperbolic automorphisms to peripheral components
François Dahmani, Nicholas Touikan
We give a reduction of the conjugacy problem among outer automorphisms of free (and torsion-free hyperbolic) groups to specific algorithmic problems pertaining to mapping tori of p…
Spectral theorems for random walks on mapping class groups and
François Dahmani, Camille Horbez
We establish spectral theorems for random walks on mapping class groups of connected, closed, oriented, hyperbolic surfaces, and on . In both cases, we relate the…
Recognizing a relatively hyperbolic group by its Dehn fillings
François Dahmani, Vincent Guirardel
Dehn fillings for relatively hyperbolic groups generalize the topological Dehn surgery on a non-compact hyperbolic -manifold such as a hyperbolic knot complement. We prove a rig…
Presenting parabolic subgroups
François Dahmani, Vincent Guirardel
Consider a relatively hyperbolic group G. We prove that if G is finitely presented, so are its parabolic subgroups. Moreover, a presentation of the parabolic subgroups can be found…
The isomorphism problem for all hyperbolic groups
François Dahmani, Vincent Guirardel
We give a solution to Dehn's isomorphism problem for the class of all hyperbolic groups, possibly with torsion. We also prove a relative version for groups with peripheral structur…