The Word Problem for the Singular Braid Monoid

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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.
18 pages, 4 figures

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Geometric Topology, Group Theory, 57M25; 20F10; 20F36

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http://salesiana.dossiersoluciones.com/handle/123456789/77392

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9809070
 http://arxiv.org/abs/math/9809070

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arXiv