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RESEARCH PRODUCT
On finite involutive Yang–Baxter groups
N. Fuster-corralAdolfo Ballester-bolinchesAdolfo Ballester-bolinchesRamon Esteban-romeroRamon Esteban-romeroH. MengH. Mengsubject
Yang–Baxter equationApplied MathematicsGeneral MathematicsYang-Baxter equationInvolutive nondegenerate solutionsInvolutive Yang-Baxter groupMATEMATICA APLICADAMatemàticaFinite left braceMathematical physicsMathematicsdescription
[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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-01-01 | Proceedings of the American Mathematical Society |