A GEOMETRIC AND ALGEBRAIC DESCRIPTION OF ANNULAR BRAID GROUPS

DOI10.1142/S0218196702000997zbMath1010.20024OpenAlexW2047990419MaRDI QIDQ4786313

David Peifer, Richard Peabody IV Kent

Publication date: 15 December 2002

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

Full work available at URL: https://doi.org/10.1142/s0218196702000997

zbMATH Keywords

presentationsfinite type Artin groupsaffine braid groupsannular braid groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36)

Related Items (24)

Decorated marked surfaces: spherical twists versus braid twists ⋮ The braid group of a necklace ⋮ \(t\)-structures on some local Calabi--Yau varieties ⋮ THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE FINITELY-PUNCTURED SPHERE ⋮ Artin groups of Euclidean type ⋮ Stability conditions on a non-compact Calabi-Yau threefold ⋮ \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups. ⋮ COLORING CURVES ON SURFACES ⋮ Braid Action on Derived Category Nakayama Algebras ⋮ Affine braid groups: a better platform than braid groups for cryptology? ⋮ Cohomology of affine Artin groups and applications ⋮ Homology computations for complex braid groups. ⋮ Curves intersecting in a circuit pattern ⋮ Swap action on moduli spaces of polygonal linkages ⋮ Categorical action of the extended braid group of affine type A ⋮ Surface subgroups of Coxeter and Artin groups. ⋮ Spaces of knots in the solid torus, knots in the thickened torus, and links in the 3-sphere ⋮ Braid groups of imprimitive complex reflection groups. ⋮ Helices on del Pezzo surfaces and tilting Calabi-Yau algebras ⋮ Braid monodromy of univariate fewnomials ⋮ Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity. ⋮ Conjugacy Problem for Subgroups with Applications to Artin Groups and Braid Type Group ⋮ Euclidean Artin-Tits groups are acylindrically hyperbolic ⋮ Bijective 1-cocycles, braces, and non-commutative prime factorization

Cites Work

• Theory of braids
• On the algebraical braid group

This page was built for publication: A GEOMETRIC AND ALGEBRAIC DESCRIPTION OF ANNULAR BRAID GROUPS