A family of solutions of the Yang-Baxter equation

Abstract: A new method to construct involutive non-degenerate set-theoretic solutions $(X<sup>n,r<sup>{(n)})$ of the Yang-Baxter equation from an initial solution $(X,r)$ is given. Furthermore, the permutation group $\mathcal{G}(X<sup>n,r<sup>{(n)})$ associated to the solution $(X<sup>n,r<sup>{(n)})$ is isomorphic to a subgroup of $\mathcal{G}(X,r)$, and in many cases $$\mathcal{G}(X^{n,r^{(n)})\cong} \mathcal{G}(X,r)$$.