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

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.

15 pages

References in corpus (1)

• On the Zappa-Szep Product

Cited by in corpus (11)

• The Algebra of Strand Splitting. I. A Braided Version of Thompson's Group V
• Presentations of higher dimensional Thompson groups
• The braided Thompson's groups are of type $F_{\infty }$
• The homology of the Higman-Thompson groups
• Central extensions of the Ptolemy-Thompson group and quantized Teichmuller theory
• Braided Thompson groups with and without quasimorphisms
• Braided Brin-Thompson Groups
• Divergence function of the braided Thompson group
• Some Remarks on the Braided Thompson Group BV
• The braided Ptolemy-Thompson group $T^{\ast }$ is asynchronously combable
• Pure braid subgroups of braided Thompson's groups