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

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

2004-06-02

arxiv.org/abs/math/0406043v1

Mathematics

Group Theory

15 pages

Scientific paper

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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