13 citations · 48 across the 16 of their papers we have counts for
3 papers · 1 filter
On the tree-width of knot diagrams
Arnaud de Mesmay, Jessica Purcell, Saul Schleimer +1
We show that a small tree-decomposition of a knot diagram induces a small sphere-decomposition of the corresponding knot. This, in turn, implies that the knot admits a small essent…
Garside theory and subsurfaces: some examples in braid groups
Saul Schleimer, Bert Wiest
Garside-theoretical solutions to the conjugacy problem in braid groups depend on the determination of a characteristic subset of the conjugacy class of any given braid, e.g. the sl…
Groups whose word problems are not semilinear
Robert H. Gilman, Robert P. Kropholler, Saul Schleimer
Suppose that G is a finitely generated group and W is the formal language of words defining the identity in G. We prove that if G is a nilpotent group, the fundamental group of a f…