The cyclic sliding operation in Garside groups

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dc.creatorGebhardt, Volker
dc.creatorGonzález-Meneses, Juan
dc.date2008-08-10
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:13Z
dc.date.available2026-07-07T10:01:13Z
dc.descriptionWe 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.
dc.description28 pages. Updated reference, minor correction
dc.identifierhttps://arxiv.org/abs/0808.1430
dc.identifierhttp://arxiv.org/abs/0808.1430
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168560
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F36 (Primary) 20F10 (Secondary)
dc.titleThe cyclic sliding operation in Garside groups
dc.typetext

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