7 citations · 8 across the 4 of their papers we have counts for
4 papers
The Zieschang-McCool method for generating algebraic mapping-class groups
Lluís Bacardit, Warren Dicks
Let g and p be non-negative integers. Let A(g,p) denote the group consisting of all those automorphisms of the free group on {t_1,...,t_p, x_1,...,x_g, y_1,...y_g} which fix the el…
A combinatorial algorithm to compute presentations of mapping-class groups of orientable surfaces with one boundary component
Lluís Bacardit
We give an algorithm which computes a presentation for a subgroup, denoted $\AM_{g,1,p}$, of the automorphism group of a free group. It is known that $\AM_{g,1,p}$ is isomorphic to…
Embedding mapping-class groups of orientable surfaces with one boundary component
Lluis Bacardit
Let be an orientable surface of genus with one boundary component and punctures. Let be the mapping-class group of relative to…
Actions of the braid group, and new algebraic proofs of results of Dehornoy and Larue
Lluís Bacardit, Warren Dicks
This article surveys many standard results about the braid group with emphasis on simplifying the usual algebraic proofs. We use van der Waerden's trick to illuminate the Artin-Mag…