New developments in the theory of Artin's braid groups

DOI10.1016/S0166-8641(02)00054-8zbMath1027.20019MaRDI QIDQ1868886

Dale P. O. Rolfsen

Publication date: 28 April 2003

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

braid groupsbraidsknot theorymapping class groups

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items

Motion groupoids and mapping class groupoids ⋮ Gröbner-Shirshov bases, conformal algebras, and pseudo-algebras. ⋮ The lower central and derived series of the braid groups of the projective plane. ⋮ The lower central and derived series of the braid groups of the sphere ⋮ A tree-free group that is not orderable

Cites Work

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• Orderings of mapping class groups after Thurston
• Ordering the braid groups
• Braid groups are linear groups
• The Burau representation is not faithful for \(n\geq 6\)
• Theory of braids
• The Faithfulness Question for the Burau Representation
• A polynomial invariant for knots via von Neumann algebras
• A Class of Right-Orderable Groups
• Observations on group rings
• BRAIDS, ORDERINGS AND ZERO DIVISORS
• Braid Groups and Left Distributive Operations
• An Ordering for Groups of Pure Braids and Fibre-Type Hyperplane Arrangements
• Braids, Link Polynomials and a New Algebra
• Automorphism Groups of Residually Finite Groups
• Configuration Spaces.
• Braid groups are linear
• Knots