8 citations · 18 across the 10 of their papers we have counts for
4 papers · 1 filter
Conjugacy in Garside Groups III: Periodic braids
Joan S. Birman, Volker Gebhardt, Juan Gonzalez-Meneses
An element in Artin's braid group B_n is said to be periodic if some power of it lies in the center of B_n. In this paper we prove that all previously known algorithms for solving…
Bi-orderings on pure braided Thompson's groups
Jose Burillo, Juan Gonzalez-Meneses
In this paper it is proved that the pure braided Thompson's group BF admits a bi-order, analog to the bi-order of the pure braid groups.
Conjugacy in Garside groups II: Structure of the ultra summit set
Joan S. Birman, Volker Gebhardt, Juan Gonzalez-Meneses
This paper is the second in a series in which the authors study the conjugacy decision problem (CDP) and the conjugacy search problem (CSP) in Garside groups. The ultra summit set…
Conjugacy in Garside groups I: Cyclings, powers, and rigidity
Joan S. Birman, Volker Gebhardt, Juan Gonzalez-Meneses
In this paper a relation between iterated cyclings and iterated powers of elements in a Garside group is shown. This yields a characterization of elements in a Garside group having…