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• W3010538969 abstract "To every involutive non-degenerate set-theoretic solution [Formula: see text] of the Yang–Baxter equation on a finite set [Formula: see text] there is a naturally associated finite solvable permutation group [Formula: see text] acting on [Formula: see text]. We prove that every primitive permutation group of this type is of prime order [Formula: see text]. Moreover, [Formula: see text] is then a so-called permutation solution determined by a cycle of length [Formula: see text]. This solves a problem recently asked by A. Ballester-Bolinches. The result opens a new perspective on a possible approach to the classification problem of all involutive non-degenerate set-theoretic solutions." @default.
• W3010538969 created "2020-03-13" @default.
• W3010538969 creator A5022675321 @default.
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• W3010538969 date "2022-01-19" @default.
• W3010538969 modified "2023-10-13" @default.
• W3010538969 title "Primitive set-theoretic solutions of the Yang–Baxter equation" @default.
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• W3010538969 doi "https://doi.org/10.1142/s0219199721501054" @default.
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