14 citations · 28 across the 5 of their papers we have counts for
5 papers · 1 filter
Abelian subgroups of Garside groups
Eon-Kyung Lee, Sang Jin Lee
In this paper, we show that for every abelian subgroup of a Garside group, some conjugate consists of ultra summit elements and the centralizer of is a finite in…
Translation numbers in a Garside group are rational with uniformly bounded denominators
Eon Kyung Lee, Sang Jin Lee
It is known that Garside groups are strongly translation discrete. In this paper, we show that the translation numbers in a Garside group are rational with uniformly bounded denomi…
Stable super summit sets in Garside groups
Eon Kyung Lee, Sang Jin Lee
withdrawn and included in our new manuscript "Abelian subgroups of Garside groups", math.GT/0609683
The kernel of is all pseudo-Anosov
Sang Jin Lee, Won Taek Song
We show that the kernel of , the reduced Burau representation with coefficients in of the 4-braid group , consists only of pseudo-Anosov braids.
The infimum, supremum and geodesic length of a braid conjugacy class
Joan S. Birman, Ki Hyoung Ko, Sang Jin Lee
Algorithmic solutions to the conjugacy problem in the braid groups B_n were given by Elrifai-Morton in 1994 and by the authors in 1998. Both solutions yield two conjugacy class inv…