POSITIVE PRESENTATIONS OF SURFACE BRAID GROUPS

DOI10.1142/S0218216507005762zbMath1149.20031arXivmath/0503658OpenAlexW2073681544MaRDI QIDQ5386929

Eddy Godelle, Paolo Bellingeri

Publication date: 14 May 2008

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

Full work available at URL: https://arxiv.org/abs/math/0503658

zbMATH Keywords

conjugacy problemsurface braid groupspositive presentations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (3)

THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE FINITELY-PUNCTURED SPHERE ⋮ Lower central series of Artin-Tits and surface braid groups. ⋮ Equivariant mapping class group and orbit braid group

Cites Work

• Geometric subgroups of surface braid groups
• Geodesic automation and growth functions for Artin groups of finite type
• Complete positive group presentations.
• Artin monoids inject in their groups
• On presentations of surface braid groups.
• A normal form for a class of monoids including the singular braid monoids
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• The braid groups of \(E^ 2\) and \(S^ 2\)
• KNOT THEORY IN HANDLEBODIES
• Braid pictures for Artin groups
• New presentations of surface braid groups
• THE BRAID GROUP AND OTHER GROUPS

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