Artículo
The cyclic sliding operation in Garside groups
Autor/es | Gebhardt, Volker
González-Meneses López, Juan |
Departamento | Universidad de Sevilla. Departamento de álgebra |
Fecha de publicación | 2010-05 |
Fecha de depósito | 2016-06-15 |
Publicado en |
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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 ... 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. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Identificador del proyecto | MTM2007-66929 |
Cita | Gebhardt, V. y González-Meneses López, J. (2010). The cyclic sliding operation in Garside groups. Mathematische Zeitschrift, 265 (1), 85-114. |
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