© 2016 Elsevier Inc. Given a left brace B, a method is given to construct explicitly all the non-degenerate involutive set-theoretic solutions (X,r) of the Yang–Baxter equation such that the associated permutation group G(X,r) is isomorphic, as a left brace, to B. This method depends entirely on the brace structure of B.
- Set-theoretic solution
- Yang–Baxter equation