66 citations · 281 across the 25 of their papers we have counts for
32 papers
Conjugacy invariants and rigidity in Garside groups: a uniformity phenomenon
Matthieu Calvez, Owen Garnier, Juan González-Meneses +1
Consider an element~ of a Garside group which is rigid in the sense of Garside-theory. Let be the set of rigid conjugates of~ -- this is a well-known characteristic s…
Morse elements in Garside groups are strongly contracting
Matthieu Calvez, Bert Wiest
We prove that in the Cayley graph of any braid group modulo its center , equipped with Garside's generating set, the axes of all pseudo-Anosov braids are strongly contr…
Garside groups and geometry
Bert Wiest
This article in memory of Patrick Dehornoy (1952-2019) is an invitation to Garside theory for mainstream geometric group theorists interested in mapping class groups, curve complex…
Hyperbolic structures for Artin-Tits groups of spherical type
Matthieu Calvez, Bert Wiest
The goal of this mostly expository paper is to present several candidates for hyperbolic structures on irreducible Artin-Tits groups of spherical type and to elucidate some relatio…
Garside theory and subsurfaces: some examples in braid groups
Saul Schleimer, Bert Wiest
Garside-theoretical solutions to the conjugacy problem in braid groups depend on the determination of a characteristic subset of the conjugacy class of any given braid, e.g. the sl…
On parabolic subgroups of Artin-Tits groups of spherical type
María Cumplido, Volker Gebhardt, Juan González-Meneses +1
We show that, in an Artin-Tits group of spherical type, the intersection of two parabolic subgroups is a parabolic subgroup. Moreover, we show that the set of parabolic subgroups f…