8 citations · 20 across the 13 of their papers we have counts for
3 papers · 2 filters
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…
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…