Groebner-Shirshov basis for the braid group in the Birman-Ko-Lee-Garside generators

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dc.creatorBokut, L. A.
dc.date2008-06-06
dc.date.accessioned2026-07-07T09:43:05Z
dc.date.available2026-07-07T09:43:05Z
dc.descriptionIn this paper, we obtain Groebner-Shirshov (non-commutative Gröbner) bases for the braid groups in the Birman-Ko-Lee generators enriched by new ``Garside word" $δ$. It gives a new algorithm for getting the Birman-Ko-Lee Normal Form in the braid groups, and thus a new algorithm for solving the word problem in these groups.
dc.identifierhttps://arxiv.org/abs/0806.1123
dc.identifierhttp://arxiv.org/abs/0806.1123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162421
dc.subjectGroup Theory
dc.titleGroebner-Shirshov basis for the braid group in the Birman-Ko-Lee-Garside generators
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