Translation numbers in a Garside group are rational with uniformly bounded denominators

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dc.creatorLee, Eon Kyung
dc.creatorLee, Sang Jin
dc.date2006-04-04
dc.date2007-03-22
dc.date.accessioned2026-07-07T09:49:54Z
dc.date.available2026-07-07T09:49:54Z
dc.descriptionIt is known that Garside groups are strongly translation discrete. In this paper, we show that the translation numbers in a Garside group are rational with uniformly bounded denominators and can be computed in finite time. As an application, we give solutions to some group-theoretic problems.
dc.description12 pages, to appear in J. Pure Appl. Algebra
dc.identifierhttps://arxiv.org/abs/math/0604061
dc.identifierhttp://arxiv.org/abs/math/0604061
dc.identifierJournal of Pure and Applied Algebra, vol. 211, no. 3, pp. 732-743, 2007
dc.identifierdoi:10.1016/j.jpaa.2007.04.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164765
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject20F36;20F10
dc.titleTranslation numbers in a Garside group are rational with uniformly bounded denominators
dc.typetext

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