Classification and structural description of simple involutive latin solutions to the Yang-Baxter equation with regular displacement group and nilpotent permutation group, including enumeration for size p^p.
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The paper fixes a proof oversight in the equivalence of solubility between skew braces and their associated YBE solutions by defining i-homomorphisms and recharacterizing solubility via i-simplicity.
citing papers explorer
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Involutive (simple) latin solutions of the Yang-Baxter equation and related (left) quasigroups
Classification and structural description of simple involutive latin solutions to the Yang-Baxter equation with regular displacement group and nilpotent permutation group, including enumeration for size p^p.
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Addendum/Corrigendum to "On solubility of skew left braces and solutions of the Yang-Baxter equation"
The paper fixes a proof oversight in the equivalence of solubility between skew braces and their associated YBE solutions by defining i-homomorphisms and recharacterizing solubility via i-simplicity.