DIAGRAM GROUPS, BRAID GROUPS, AND ORDERABILITY

DOI10.1142/S0218216503002482zbMath1089.20023MaRDI QIDQ4474489

Bert Wiest

Publication date: 12 July 2004

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

zbMATH Keywords

braid groupsThompson grouporderable groupsdiagram groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (3)

The braided Ptolemy-Thompson group is finitely presented. ⋮ Universal diagram groups with identical Poincaré series. ⋮ Diagram groups are totally orderable.

Cites Work

• Ordering the braid groups
• Braids, Links, and Mapping Class Groups. (AM-82)
• On the Algebra of Semigroup Diagrams
• Mapping class groups are automatic

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