Busemann points of Artin groups of dihedral type

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dc.creatorWalsh, Cormac
dc.date2007-05-10
dc.date.accessioned2026-07-07T08:00:41Z
dc.date.available2026-07-07T08:00:41Z
dc.descriptionWe study the horofunction boundary of an Artin group of dihedral type with its word metric coming from either the usual Artin generators or the dual generators. In both cases, we determine the horoboundary and say which points are Busemann points, that is the limits of geodesic rays. In the case of the dual generators, it turns out that all boundary points are Busemann points, but this is not true for the Artin generators. We also characterise the geodesics with respect to the dual generators, which allows us to calculate the associated geodesic growth series.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0705.1485
dc.identifierhttp://arxiv.org/abs/0705.1485
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128730
dc.subjectGroup Theory
dc.subject20F36; 20F65
dc.titleBusemann points of Artin groups of dihedral type
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