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

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 نشر من قبل Leonid Bokut
 تاريخ النشر 2008
  مجال البحث
والبحث باللغة English
 تأليف L. A. Bokut




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In this paper, we obtain Groebner-Shirshov (non-commutative Grobner) bases for the braid groups in the Birman-Ko-Lee generators enriched by new ``Garside word $delta$. 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.



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