Centralisers in Surface Braid Groups

DOI10.1081/AGB-200029703zbMath1114.20020MaRDI QIDQ3158363

Paolo Bellingeri

Publication date: 24 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

braid groupsword problemcentralizersorientable surfacessingular braid monoids

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (4)

Surface framed braids. ⋮ Braids, their Properties and Generalizations ⋮ The Natural Embedding of Positive Singular Artin Monoids ⋮ On parabolic submonoids of a class of singular Artin monoids

Cites Work

• Closed braids in 3-manifolds
• Link invariants of finite type and perturbation theory
• Geometric subgroups of surface braid groups
• Normalizer and Artin group of spherical type.
• A normal form for a class of monoids including the singular braid monoids
• THE SINGULAR BRAID MONOID EMBEDS IN A GROUP
• Singular Braids and Markov's Theorem
• Vassiliev invariants for braids on surfaces
• New presentations of surface braid groups
• PRESENTATIONS FOR THE MONOIDS OF SINGULAR BRAIDS ON CLOSED SURFACES
• New points of view in knot theory
• Geometric subgroups of mapping class groups

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