Automatic structures for torus link groups

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dc.creatorPicantin, Matthieu
dc.date2001-11-07
dc.date.accessioned2026-07-07T04:44:26Z
dc.date.available2026-07-07T04:44:26Z
dc.descriptionA general result of Epstein and Thurston implies that all link groups are automatic, but the proof provides no explicit automaton. Here we show that the groups of all torus links are groups of fractions of so-called Garside monoids, i.e., roughly speaking, monoids with a good theory of divisibility, which allows us to reprove that those groups are automatic, but, in addition, gives a completely explicit description of the involved automata, thus partially answering a question of D.F.Holt.
dc.identifierhttps://arxiv.org/abs/math/0111079
dc.identifierhttp://arxiv.org/abs/math/0111079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62587
dc.subjectGroup Theory
dc.subject20F05; 57M25; 20F10; 20F36; 20M35
dc.titleAutomatic structures for torus link groups
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