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

preprint2004arXivOpen access

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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