224 citations
- Centre National de la Recherche ScientifiqueFR376 papers
- Université Grenoble AlpesFR309 papers
- Université Joseph FourierFR201 papers
- Laboratoire de Mathématiques d'OrsayFR42 papers
- Pôle de recherche et d'enseignement supérieur Université de GrenobleFR37 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR31 papers
- Laboratoire de Mathématiques Jean LerayFR25 papers
- Université Paris-SudFR24 papers
- Institut Camille JordanFR19 papers
- Laboratoire de Physique et Modélisation des Milieux CondensésFR19 papers
- Sorbonne UniversitéFR19 papers
- Université Toulouse III - Paul SabatierFR17 papers
42 papers · 1 filter
A remark on the number of automorphisms of some algebraic structures
Rémi Molinier
In these notes we look at the following question: given a category of algebraic structure (e.g. the category of groups, monoids, partial groups, ...) and a rational $r…
Dimension and partial groups
Philip Hackney, Rémi Molinier
A partial group with elements is, when regarded as a symmetric simplicial set, of dimension at most . This dimension is if and only if the partial group is a group. As…
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…
Cubulated hyperbolic groups admit Anosov representations
Sami Douba, Balthazar Fléchelles, Theodore Weisman +1
We prove that any hyperbolic group acting properly discontinuously and cocompactly on a cube complex admits a projective Anosov representation into $\mathrm{SL}(d…
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…