On the singular braid monoid

Mathematics – Group Theory

Scientific paper

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12 pages, 7 figures

Scientific paper

Garside's results and the existense of the greedy normal form for braids are
shown to be true for the singular braid monoid. An analogue of the presentation
of J. S. Birman, K. H. Ko and S. J. Lee for the braid group is also obtained
for this monoid.

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