On the indecomposable involutive set-theoretic solutions of the Yang-Baxter equation of prime-power size
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Publication:5107028
DOI10.1080/00927872.2019.1710163zbMath1481.16043arXiv1911.05457OpenAlexW2999635642MaRDI QIDQ5107028
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Publication date: 22 April 2020
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.05457
Solvable groups, supersolvable groups (20F16) Extensions, wreath products, and other compositions of groups (20E22) Yang-Baxter equations (16T25)
Related Items (13)
Indecomposable involutive solutions of the Yang-Baxter equation of multipermutational level 2 with abelian permutation group ⋮ Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation ⋮ Inverse semi-braces and the Yang-Baxter equation ⋮ Cocyclic braces and indecomposable cocyclic solutions of the Yang-Baxter equation ⋮ Left non-degenerate set-theoretic solutions of the Yang–Baxter equation and dynamical extensions of q-cycle sets ⋮ A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation ⋮ Indecomposable solutions of the Yang-Baxter equation of square-free cardinality ⋮ Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes pq and p 2 q ⋮ Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets ⋮ Cocyclic solutions to the Yang-Baxter equation ⋮ Constructing finite simple solutions of the Yang-Baxter equation ⋮ Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation and orthogonal dynamical extensions of cycle sets ⋮ New simple solutions of the Yang-Baxter equation and solutions associated to simple left braces
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