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The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand

Matthew G. Brin
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Abstract

Presentations are computed for a braided version BV of Thompson's group V and for V itself showing that there is an Artin group/Coxeter group relation between them. The presentation for V is obtained from that for BV by declaring all that all generators are involutions.

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Matthew G. Brin. 2004-06-02. The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand. https://doi.org/10.1142/s021819670600286x

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