Cocyclic braces and indecomposable cocyclic solutions of the Yang-Baxter equation
Abstract
We study indecomposable involutive set-theoretic solutions of the Yang-Baxter equation with cyclic permutation groups (cocyclic solutions). In particular, we show that there is no one-to-one correspondence between indecomposable cocyclic solutions and cocyclic braces which contradicts recent results in Rump21.
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