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      Conjugacy in Garside Groups III: Periodic braids 

      Birman, Joan S.; Gebhardt, Volker; González-Meneses López, Juan (Elsevier, 2007-10-15)
      An element in Artin’s braid group Bn is said to be periodic if some power of it lies in the center of Bn. In this paper ...
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      Conjugacy problem for braid groups and Garside groups 

      Gonçalves Soares Franco, Nuno María; González-Meneses López, Juan (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 ...
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      Fast Nielsen-Thurston classification of braids 

      Calvez, Matthieu (Mathematical Sciences Publishers, 2014)
      We prove the existence of an algorithm that solves the reducibility problem in braid groups and runs in quadratic time with respect to the braid length for any fixed braid index.
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      On the cycling operation in braid groups 

      González-Meneses López, Juan; Gebhardt, Volker (Elsevier, 2008-09-06)
      The cycling operation is a special kind of conjugation that can be applied to elements in Artin’s braid groups, in order ...
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      On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group 

      Cumplido Cabello, María (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 ...
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      The root extraction problem for generic braids 

      Cumplido Cabello, María; González-Meneses López, Juan; Silvero Casanova, Marithania (MDPI, 2019-10)
      We show that, generically, finding the k-th root of a braid is very fast. More precisely, we provide an algorithm which, ...