On the structure of surface pure braid groups.

DOI10.1016/S0022-4049(02)00309-2zbMath1053.20035OpenAlexW4210582284MaRDI QIDQ5916336

John Guaschi, Daciberg Lima Gonçalves

Publication date: 18 June 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(02)00309-2

zbMATH Keywords

split exact sequencespure braid groups of surfaces

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

Related Items

The braid groups of the projective plane., On presentations of surface braid groups., Braid groups of non-orientable surfaces and the Fadell-Neuwirth short exact sequence, THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE FINITELY-PUNCTURED SPHERE, ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS, Braids on surfaces and finite type invariants., The homotopy type of elliptic arrangements, Section problems for configuration spaces of surfaces, Twisted Conjugacy Classes for Polyfree Groups, BIRMAN'S CONJECTURE FOR SINGULAR BRAIDS ON CLOSED SURFACES, The Borsuk-Ulam theorem for maps into a surface, The lower central and derived series of the braid groups of the projective plane., Braids, their Properties and Generalizations, THE BRAID GROUP $B_{n,m}(\mathbb{S}^{2})$ AND A GENERALISATION OF THE FADELL–NEUWIRTH SHORT EXACT SEQUENCE, Section problems for graph configuration spaces, The lower central and derived series of the braid groups of the sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric subgroups of surface braid groups
• The braid groups of \(E^ 2\) and \(S^ 2\)
• Theory of braids
• Braids and permutations
• Seifert Fibre Spaces and Braid Groups
• Vassiliev invariants for braids on surfaces
• Configuration Spaces.
• Braid Groups of Compact 2-Manifolds with Elements of Finite Order
• On braid groups
• The Word Problem and Consequences for the Braid Groups and Mapping Class Groups of the 2-Sphere
• The Braid Groups.
• Knots