688 citations
- Laboratoire de Mathématiques Nicolas OresmeFR40 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR30 papers
- Centre National de la Recherche ScientifiqueFR26 papers
- Université Paris-SudFR16 papers
- Université Savoie Mont BlancFR12 papers
- Laboratoire de Mathématiques de ReimsFR9 papers
- Institut de recherche mathématique de RennesFR8 papers
- Laboratoire de Mathématiques et ApplicationsFR8 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR7 papers
- Laboratoire de Statistique Théorique et AppliquéeFR6 papers
- Université Paris CitéFR6 papers
- Centre de Recherche en Mathématiques de la DécisionFR5 papers
5 papers · 2 filters
Translation equivalence in free groups
Ilya Kapovich, Gilbert Levitt, Paul Schupp +1
Motivated by the work of Leininger on hyperbolic equivalence of homotopy classes of closed curves on surfaces, we investigate a similar phenomenon for free groups. Namely, we study…
On word reversing in braid groups
Patrick Dehornoy, Bert Wiest
It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word reversings can increase the length of a…
The group of parenthesized braids
Patrick Dehornoy
We investigate a group that includes Artin's braid group and Thompson's group . The elements of are represented by braids diagrams in which…
Geometric presentations for Thompson's groups
Patrick Dehornoy
We prove that Thompson's groups and are the geometry groups of associativity, and of associativity together with commutativity, respectively. We deduce new presentations of…
Parabolic subgroups of Garside groups
Eddy Godelle
A Garside monoid is a cancellative monoid with a finite lattice generating set; a Garside group is the group of fractions of a Garside monoid. The family of Garside groups contains…