@article{Ced2012BracesAT,
title={Braces and the Yang–Baxter Equation},
author={F. Ced{\'o} and E. Jespers and J. Okninski},
journal={Communications in Mathematical Physics},
year={2012},
volume={327},
pages={101-116}
}

Several aspects of relations between braces and non-degenerate involutive set-theoretic solutions of the Yang–Baxter equation are discussed and many consequences are derived. In particular, for each positive integer n a finite square-free multipermutation solution of the Yang–Baxter equation with multipermutation level n and an abelian involutive Yang–Baxter group is constructed. This answers a problem of Gateva-Ivanova and Cameron. It is proved that finite non-degenerate involutive set… CONTINUE READING