English

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

Group Theory 2013-08-08 v1

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.

Keywords

Cite

@article{arxiv.math/0406043,
  title  = {The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand},
  author = {Matthew G. Brin},
  journal= {arXiv preprint arXiv:math/0406043},
  year   = {2013}
}

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15 pages