On the singular braid monoid
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V. Vershinin
Translated by: the author - St. Petersburg Math. J. 21 (2010), 693-704
- DOI: https://doi.org/10.1090/S1061-0022-2010-01112-9
- Published electronically: July 14, 2010
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Abstract:
Garside’s results and the existence of the greedy normal form for braids are shown to be true for the singular braid monoid. An analog of the presentation of J. S. Birman, K. H. Ko, and S. J. Lee for the classical braid group is also obtained for this monoid.References
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Bibliographic Information
- V. Vershinin
- Affiliation: Département des Sciences Mathématiques, Université Montpellier II, Place Eugéne Bataillon, 34095 Montpellier cedex 5, France
- Address at time of publication: Sobolev Institute of Mathematics, Novosibirsk 630090, Russia
- Email: vershini@math.univ-montp2.fr, versh@math.nsc.ru
- Received by editor(s): September 2, 2008
- Published electronically: July 14, 2010
- © Copyright 2010 American Mathematical Society
- Journal: St. Petersburg Math. J. 21 (2010), 693-704
- MSC (2010): Primary 20F36; Secondary 20F38
- DOI: https://doi.org/10.1090/S1061-0022-2010-01112-9
- MathSciNet review: 2604561