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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 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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      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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      Parabolic subgroups acting on the additional length graph 

      Antolín, Yago; Cumplido Cabello, María (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 ...
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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 ...