30 citations · 51 across the 20 of their papers we have counts for
26 papers
Ordering, Artin--Tits group, Garside structure
Jean Fromentin, Eddy Godelle
A Dehornoy structure is a tool used to obtain a left order in the Garside group~. Arcis and Paris introduced two conditions, known as Condition~ and Condition~. When they…
Minimal generating set of cactus groups
Eddy Godelle
We prove that the lower central series of the cactus group associated with a non commutative Coxeter group never stabilizes. We also compute a minimal presentation in terms of gene…
Trickle groups
Paolo Bellingeri, Eddy Godelle, Luis Paris
A new family of groups, called trickle groups, is presented. These groups generalize right-angled Artin and Coxeter groups, as well as cactus groups. A trickle group is defined by…
Retraction to a parabolic subgroup and applications
François Digne, Eddy Godelle, Jean Michel
We continue the study of the retraction from an Artin group to a standard parabolic subgroup introduced by Blufstein, Charney, Paris and the second author. Using right and left ret…
On parabolic subgroups of Artin-Tits groups
Eddy Godelle
Abstract. We address the conjecture which states that an intersection of parabolic subgroups of an Artin-Tits group is a parabolic subgroup. We prove that the conjecture is equival…
Double centralizers in Artin-Tits groups
Oussama Ajbal, Eddy Godelle
We prove an analogue of the Centralizer Theorem in the context of Artin-Tits groups.