A POSITIVE PRESENTATION FOR THE PURE BRAID GROUP

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Published: Aug 15, 2010
DOI: https://doi.org/10.14403/jcms.2010.23.3.555
Keywords:
braid group, pure braid group, presentation, Garside monoid
Mathematics Subject Classification (2020):
Primary 20F36, Secondary 20F10

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Eon-Kyung Lee
Department of Mathematics, Sejong University

Abstract





For the pure braid groups, this paper gives a positive finite presentation whose generators are the standard Artin generators, and determines whether the submonoid generated by the Artin generators is a Garside monoid or not.





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Article Details

Issue
Vol. 23 No. 3 (2010)
Section
Articles