Left orders in Garside groups

DOI10.1142/S0218196716500570zbMath1357.20015arXiv1507.08106MaRDI QIDQ5298317

Fabienne Chouraqui

Publication date: 14 December 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08106

zbMATH Keywords

Garside groupsunique product propertylocal indicabilityorderability of groupsset-theoretical solutions of the quantum Yang-Baxter equation

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Ordered groups (group-theoretic aspects) (20F60) Yang-Baxter equations (16T25)

Related Items (12)

Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces ⋮ On some Garsideness properties of structure groups of set-theoretic solutions of the Yang-Baxter equation ⋮ The Yang–Baxter equation and Thompson’s group F ⋮ One-sided orthogonality, orthomodular spaces, quantum sets, and a class of Garside groups ⋮ Structure monoids of set-theoretic solutions of the Yang-Baxter equation ⋮ Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation ⋮ Combinatorial solutions to the reflection equation ⋮ On Structure Groups of Set-Theoretic Solutions to the Yang–Baxter Equation ⋮ Retractability of solutions to the Yang–Baxter equation and p-nilpotency of skew braces ⋮ Ordering Garside groups ⋮ The matched product of set-theoretical solutions of the Yang-Baxter equation ⋮ Factorizations of skew braces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the space of left-orderings of virtually solvable groups
• On geometric aspects of diffuse groups. With an appendix by Nathan Dunfield.
• Coxeter-like groups for set-theoretic solutions of the Yang-Baxter equation.
• Right-ordered groups
• Bieberbach groups and flat manifolds
• Groups acting on the circle.
• Applications of a New K-Theoretic Theorem to Soluble Group Rings
• The space of left orders of a group is either finite or uncountable
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
• The Units of Group-Rings

This page was built for publication: Left orders in Garside groups