14 citations · 40 across the 4 of their papers we have counts for
4 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withdrawn and included in our new manuscript "Abelian subgroups of Garside groups", math.GT/0609683
A Garside-theoretic approach to the reducibility problem in braid groups
Eon-Kyung Lee, Sang-Jin Lee
Let denote the -punctured disk in the complex plane, where the punctures are on the real axis. An -braid is said to be \emph{reducible} if there exists an essential…