Constructing finite simple solutions of the Yang-Baxter equation

DOI10.1016/j.aim.2021.107968zbMath1485.16032arXiv2012.08400OpenAlexW3196230171MaRDI QIDQ2232717

Ferran Cedó, Okniński, Jan

Publication date: 8 October 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08400

zbMATH Keywords

Yang-Baxter equationprimitive groupbraceset-theoretic solution

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Primitive groups (20B15) Yang-Baxter equations (16T25)

Related Items (8)

Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation ⋮ A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation ⋮ Finite skew braces of square-free order and supersolubility ⋮ Indecomposable solutions of the Yang-Baxter equation of square-free cardinality ⋮ Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation ⋮ Indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2 with non-abelian permutation group ⋮ A new formula for Lazard's correspondence for finite braces and pre-Lie algebras ⋮ New simple solutions of the Yang-Baxter equation and solutions associated to simple left braces

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