Indecomposable involutive solutions to the Yang-Baxter equation of prime-squared size

In joint work with Carsten Dietzel and Senne Trappeniers, we study involutive indecomposable solutions to the Yang-Baxter equation. These solutions correspond to a transitive permutation group that encodes their combinatorial properties through an associated permutation skew brace. Building on works by Jedlička-Pilitowska and Cedó-Okniński, we fully classify solutions of prime-squared size.

Dec 19, 2024