Now showing items 1-7 of 7

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      Conjugacy in Garside groups I: Cyclings, powers, and rigidity 

      Birman, Joan S.; Gebhardt, Volker; González-Meneses López, Juan (European Mathematical Society, 2007)
      In this paper a relation between iterated cyclings and iterated powers of elements in a Garside group is shown. This yields ...
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      Conjugacy in Garside groups II: Structure of the ultra summit set 

      Birman, Joan S.; Gebhardt, Volker; González-Meneses López, Juan (European Mathematical Society, 2008)
      This paper is the second in a series in which the authors study the conjugacy decision problem (CDP) and the conjugacy ...
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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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      Generating random braids 

      Gebhardt, Volker; González-Meneses López, Juan (Elsevier, 2013-01)
      We present an algorithm to generate positive braids of a given length as words in Artin generators with a uniform probability. ...
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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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      Solving the conjugacy problem in Garside groups by cyclic sliding 

      Gebhardt, Volker; González-Meneses López, Juan (Elsevier, 2010-06)
      We present a solution to the conjugacy decision problem and the conjugacy search problem in Garside groups, which is ...
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      The cyclic sliding operation in Garside groups 

      Gebhardt, Volker; González-Meneses López, Juan (Springer, 2010-05)
      We present a new operation to be performed on elements in a Garside group, called cyclic sliding, which is introduced to ...