Garside structure for the braid group of G(e,e,r)

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dc.creatorBessis, David
dc.creatorCorran, Ruth
dc.date2003-06-11
dc.date.accessioned2026-07-07T04:58:54Z
dc.date.available2026-07-07T04:58:54Z
dc.descriptionWe give a new presentation of the braid group $B$ of the complex reflection group $G(e,e,r)$ which is positive and homogeneous, and for which the generators map to reflections in the corresponding complex reflection group. We show that this presentation gives rise to a Garside structure for $B$ with Garside element a kind of generalised Coxeter element, and hence obtain solutions to the word and conjugacy problems for $B$.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0306186
dc.identifierhttp://arxiv.org/abs/math/0306186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67772
dc.subjectGroup Theory
dc.titleGarside structure for the braid group of G(e,e,r)
dc.typetext

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