54 citations
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math.GR2008★ 1 cited
The cyclic sliding operation in Garside groups
Volker Gebhardt, Juan González-Meneses
We present a new operation to be performed on elements in a Garside group, called cyclic sliding, which is introduced to replace the well known cycling and decycling operations. Cy…
math.GR2008★ 3 cited
Solving the conjugacy problem in Garside groups by cyclic sliding
Volker Gebhardt, Juan González-Meneses
We present a solution to the conjugacy decision problem and the conjugacy search problem in Garside groups, which is theoretically simpler than the usual one, with no loss of effic…