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math.GR2017★ 118 cited
On skew braces (with an appendix by N. Byott and L. Vendramin)
A. Smoktunowicz, L. Vendramin
Braces are generalizations of radical rings, introduced by Rump to study involutive non-degenerate set-theoretical solutions of the Yang-Baxter equation (YBE). Skew braces were als…
math.GR2017★ 26 cited
A characterization of finite multipermutation solutions of the Yang-Baxter equation
D. Bachiller, F. Cedó, L. Vendramin
We prove that a finite non-degenerate involutive set-theoretic solution (X,r) of the Yang-Baxter equation is a multipermutation solution if and only if its structure group G(X,r) a…