THE ALGEBRA OF STRAND SPLITTING II: A PRESENTATION FOR THE BRAID GROUP ON ONE STRAND

DOI10.1142/S021819670600286XzbMath1170.20306arXivmath/0406043MaRDI QIDQ5470165

Matthew G. Brin

Publication date: 29 May 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406043

zbMATH Keywords

monoidal categoriesbraid groupsArtin groupsfinitely presented groupsnormal form theoremsThompson groupsfinite presentationsbraided tensor categoriesbraided versions

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items

The braided Thompson's groups are of type \(F_\infty\), A new family of infinitely braided Thompson's groups, Classification of Thompson related groups arising from Jones' technology II, Divergence function of the braided Thompson group, Forest-skein groups II: Construction from homogeneously presented monoids, FACTORIZATIONS OF THE THOMPSON–HIGMAN GROUPS, AND CIRCUIT COMPLEXITY, Using groups for investigating rewrite systems, Presentations of higher dimensional Thompson groups., The algebra of strand splitting. I. A braided version of Thompson's group V, The group of parenthesized braids., The braid shelf, Garside combinatorics for Thompson's monoid \(F^+\) and a hybrid with the braid monoid \(B_{\infty }^{+}\), Higher finiteness properties of braided groups, Geometric presentations for Thompson's groups., FREE AUGMENTED LD-SYSTEMS, Geometric structures related to the braided Thompson groups

Cites Work

• Automorphisms of generalized Thompson groups
• A Stone Type Representation Theorem for Algebras of Relations of Higher Rank
• ON THE ZAPPA-SZÉP PRODUCT