Search results for "Involutive Yang-Baxter group"

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On finite involutive Yang–Baxter groups

2021

[EN] A group G is said to be an involutive Yang¿Baxter group, or simply an IYB-group, if it is isomorphic to the permutation group of an involutive, nondegenerate set-theoretic solution of the Yang-Baxter equation. We give new sufficient conditions for a group that can be factorised as a product of two IYB-groups to be an IYB-group. Some earlier results are direct consequences of our main theorem.

Yang–Baxter equationApplied MathematicsGeneral MathematicsYang-Baxter equationInvolutive nondegenerate solutionsInvolutive Yang-Baxter groupMATEMATICA APLICADAMatemàticaFinite left braceMathematical physicsMathematicsProceedings of the American Mathematical Society
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