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On finite involutive Yang–Baxter groups
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-12-17 , DOI: 10.1090/proc/15283
H. Meng , A. Ballester-Bolinches , R. Esteban-Romero , N. Fuster-Corral

Abstract: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.


中文翻译:

关于有限对合的Yang–Baxter群

中文摘要:如果一个组$ G $与Yang-Baxter方程的对合,非简并集理论解的置换组同构,则称该组为对合的Yang-Baxter组,或简称为IYB-组。我们为可以为两个IYB组的乘积分解为IYB组的组提供了新的充分条件。一些较早的结果是我们的主要定理的直接结果。
更新日期:2021-01-11
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