On finite involutive Yang–Baxter groups

Meng, H.; Ballester-Bolinches, A.; Esteban-Romero, R.; Fuster-Corral, N.

doi:10.1090/proc/15283

On finite involutive Yang–Baxter groups
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by H. Meng, A. Ballester-Bolinches, R. Esteban-Romero and N. Fuster-Corral PDF

Proc. Amer. Math. Soc. 149 (2021), 793-804 Request permission

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.

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