Opened Access The cyclic sliding operation in Garside groups

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Autor: Gebhardt, Volker
González-Meneses López, Juan
Departamento: Universidad de Sevilla. Departamento de álgebra
Fecha: 2010-05
Publicado en: Mathematische Zeitschrift, 265 (1), 85-114.
Tipo de documento: Artículo
Resumen: 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. Cyclic sliding appears to be a more natural choice, simplifying the algorithms concerning conjugacy in Garside groups and having nicer theoretical properties. We show, in particular, that if a super summit element has conjugates which are rigid (that is, which have a certain particularly simple structure), then the optimal way of obtaining such a rigid conjugate through conjugation by positive elements is given by iterated cyclic sliding.
Cita: Gebhardt, V. y González-Meneses López, J. (2010). The cyclic sliding operation in Garside groups. Mathematische Zeitschrift, 265 (1), 85-114.
Tamaño: 380.2Kb
Formato: PDF

URI: http://hdl.handle.net/11441/42284

DOI: 10.1007/s00209-009-0502-2

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