PALINDROMES AND ORDERINGS IN ARTIN GROUPS

DOI10.1142/S0218216510007802zbMath1193.20044arXivmath/0410275OpenAlexW2155217124MaRDI QIDQ3558826

Florian Deloup

Publication date: 10 May 2010

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

Full work available at URL: https://arxiv.org/abs/math/0410275

zbMATH Keywords

braid groupspalindromesorderable groupsArtin groups of finite typeleft-ordered groupsDehornoy order

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Ordered groups (group-theoretic aspects) (20F60)

Related Items

Palindromic Width of Finitely Generated Solvable Groups ⋮ Palindromic width of wreath products ⋮ On palindromic width of certain extensions and quotients of free nilpotent groups ⋮ On generating binary words palindromically

Cites Work

• Unnamed Item
• About the effective classification of conjugacy classes of braids
• Palindromic braids.
• Complete positive group presentations.
• Dehornoy's ordering of the braid groups extends the subword ordering
• Artin monoids inject in their groups
• Artin-Gruppen und Coxeter-Gruppen
• Braids, Links, and Mapping Class Groups. (AM-82)
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• THE BRAID GROUP AND OTHER GROUPS