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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
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 
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
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
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。
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