The factorizable braid monoid

James East

doi:10.1017/S0013091504001452

The factorizable braid monoid

James East

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper we study the factorizable braid monoid (also known as the merge-and-part braid monoid) introduced by Easdown, East and FitzGerald in 2004. We find several presentations of this monoid, and uncover an interesting connection with the singular braid monoid. This leads to the definition of the flexible singular braid monoid, which consists of 'flexible-vertex-isotopy' classes of singular braids. We conclude by defining and studying the pure factorizable braid monoid, the maximal subgroups of which are (isomorphic to) quotients of the pure braid group.

Original language	English
Pages (from-to)	609-636
Number of pages	28
Journal	Proceedings of the Edinburgh Mathematical Society. Series II
Volume	49
Issue number	3
DOIs	https://doi.org/10.1017/S0013091504001452
Publication status	Published - 2006

Keywords

braids
monoids

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Cite this

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abstract = "In this paper we study the factorizable braid monoid (also known as the merge-and-part braid monoid) introduced by Easdown, East and FitzGerald in 2004. We find several presentations of this monoid, and uncover an interesting connection with the singular braid monoid. This leads to the definition of the flexible singular braid monoid, which consists of 'flexible-vertex-isotopy' classes of singular braids. We conclude by defining and studying the pure factorizable braid monoid, the maximal subgroups of which are (isomorphic to) quotients of the pure braid group.",

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KW - braids

KW - monoids

UR - http://handle.uws.edu.au:8081/1959.7/uws:29073

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DO - 10.1017/S0013091504001452

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JF - Proceedings of the Edinburgh Mathematical Society. Series II

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ER -

The factorizable braid monoid

Abstract

Keywords

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