• Artículo
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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 ...
    • Artículo
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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 ...
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      The nth root of a braid is unique up to conjugacy 

      González-Meneses López, Juan (Mathematical Sciences Publishers, 2003-11-01)
      We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification of braids.