The Word Problem for the Singular Braid Monoid

Details The Word Problem for the Singular Braid Monoid The Word Problem for the Singular Braid Monoid

1998-09-12

arxiv.org/abs/math/9809070v1

Mathematics

Geometric Topology

18 pages, 4 figures

Scientific paper

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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