The Word Problem for the Singular Braid Monoid

Oliver T. Dasbach; Bernd Gemein

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The Word Problem for the Singular Braid Monoid

Oliver T. Dasbach·Bernd Gemein

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Abstract

We give a solution to the word problem for the singular braid monoid SB_n. The complexity of the algorithm is quadratic in the product of the word length and the number of the singular generators in the word. Furthermore we algebraically reprove a result of Fenn, Keyman and Rourke that the monoid embeds into a group and we compute the cohomological dimension of this group.

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Oliver T. Dasbach, Bernd Gemein. 1998-09-12. The Word Problem for the Singular Braid Monoid. https://arxiv.org/abs/math/9809070

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