Solutions of the Yang–Baxter equation associated with a left brace

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