3 citations · 3 across the 4 of their papers we have counts for
4 papers
Questions on surface braid groups
Paolo Bellingeri, Eddy Godelle
We provide new group presentations for surface braid groups which are positive. We study some properties of such presentations and we solve the conjugacy problem in a particular ca…
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…
Conjugacy in Artin groups and applications to the classification of surfaces
Eddy Godelle, Mina Teicher, Shmuel Kaplan
We show thatthe double reversing algorithm proposed by dehornoy for solving the word problem in the braid group can also be used to recognize the conjugates of powers of the genera…
On singular Artin monoids
Eddy Godelle, Luis Paris
In this paper we study some combinatorial aspects of the singular Artin monoids. Firstly, we show that a singular Artin monoid can be presented as a semidirect product of a gr…