29 citations · 73 across the 12 of their papers we have counts for
12 papers
Free-by-cyclic groups are conjugacy separable
François Dahmani, Sam Hughes, Monika Kudlinska +1
We show that all finitely generated free-by-cyclic groups are conjugacy separable: if a finitely generated group surjects onto with free kernel, then for every pai…
Hyperbolic hyperbolic-by-cyclic groups are cubulable
François Dahmani, Suraj Krishna M S, Jean Pierre Mutanguha
We show that the mapping torus of a hyperbolic group by a hyperbolic automorphism is cubulable. Along the way, we (i) give an alternate proof of Hagen and Wise's theorem that hyper…
Unipotent linear suspensions of free groups
François Dahmani, Nicholas Touikan
Motivated by the study of the conjugacy problem for outer automorphism of free groups, we develop the algorithmic theory of the free-by-cyclic group produced by unipotent linearly…
Cubulating a free-product-by-cyclic group
François Dahmani, Suraj Krishna M S
Let be a torsion-free group and an automorphism of that preserves this free factor system. We show that when is fully irreducible and atoroi…
Class number for pseudo-Anosovs
François Dahmani, Mahan Mj
Given two automorphisms of a group , one is interested in knowing whether they are conjugate in the automorphism group of , or in the abstract commensurator of , and how t…
Relative hyperbolicity of hyperbolic-by-cyclic groups
François Dahmani, Suraj Krishna M S
Let be a torsion-free hyperbolic group and an automorphism of . We show that there exists a canonical collection of subgroups that are polynomially growing under , an…
Tangent bundles of hyperbolic spaces and proper affine actions on spaces
Indira Chatterji, François Dahmani, Thomas Haettel +1
We define the notion of a negatively curved tangent bundle of a metric measured space. We prove that, when a group acts on a metric measured space with a negatively curved…
Relative hyperbolicity for automorphisms of free products
François Dahmani, Ruoyu Li
We prove that for a free product with free factor system , any automorphism preserving , atoroidal (in a sense relative to ) and none…
Proper actions on spaces for relatively hyperbolic groups
Indira Chatterji, François Dahmani
We show that for any group that is hyperbolic relative to subgroups that admit a proper affine isometric action on a uniformly convex Banach space, then acts properly on a…
The normal closure of big Dehn twists, and plate spinning with rotating families
François Dahmani
We study the normal closure of a big power of one or several Dehn twists in a Mapping Class Group. We prove that it has a presentation whose relators consists only of commutators b…
On suspensions, and conjugacy of hyperbolic automorphisms (and of a few more)
François Dahmani
Part 1 : We remark that the conjugacy problem for pairs of hyperbolic au- tomorphisms of a finitely presented group (typically a free group) is decidable. The solution that we prop…
No-splitting property and boundaries of random groups
François Dahmani, Vincent Guirardel, Piotr Przytycki
We prove that random groups in the Gromov density model, at any density, satisfy property (FA), i.e. they do not act non-trivially on trees. This implies that their Gromov boundari…