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Register a new userGroebner-Shirshov basis for the braid group in the Birman-Ko-Lee-Garside generators
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Authors
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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