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Artículo
On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group
(Springer, 2018-09-22)
The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a system formed only by round curves. We give an algorithm to compute it in a geometrical way. Then, we ...
Artículo
The conjugacy stability problem for parabolic subgroups in artin groups
(Springer, 2022-09-14)
Given an Artin group A and a parabolic subgroup P, we study if every two elements of P that are conjugate in A, are also conjugate in P. We provide an algorithm to solve this decision problem if A satisfies three properties ...
Artículo
Parabolic subgroups acting on the additional length graph
(Geometric & Topology Publications, 2021-08-18)
Let A ≠ A 1 , A 2 , I 2 m be an irreducible Artin–Tits group of spherical type. We show that the periodic elements of A and the elements preserving some parabolic subgroup of A act elliptically on the ...
Artículo
Conjugacy problem for braid groups and Garside groups
(Elsevier, 2003-08-01)
We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented by Birman, Ko and Lee. This algorithm can be applied not only to braid groups, but to all Garside ...