Abelian maps, brace blocks, and solutions to the Yang-Baxter equation

Let G be a finite nonabelian group. We show how an endomorphism of with abelian image gives rise to family binary operations {?n:n?Z?0} on such that (G,?m,?n) is skew left brace for all m,n?0. A block number non-degenerate set-theoretic solutions the Yang-Baxter equation. give examples showing obtained can arbitrarily large.