Presentation of pure braid groups

DOI10.1142/S0218216501001037zbMath1009.20040OpenAlexW2093874139MaRDI QIDQ4541031

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Publication date: 30 July 2002

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216501001037

zbMATH Keywords

presentationsCoxeter groupspure braid groupssemi-direct products

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07)

Related Items (6)

Pure braid group presentations via longest elements ⋮ Hecke algebras of normalizers of parabolic subgroups ⋮ Braid groups and symplectic Steinberg groups ⋮ The adjoint group of a Coxeter quandle ⋮ BIRMAN'S CONJECTURE IS TRUE FOR I₂(p) ⋮ On parabolic subgroups of Artin-Tits groups of spherical type

Cites Work

• Some subgroups of Artin's braid group

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