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Set Theoretic Yang-Baxter Solutions via Fox Calculus

J. Scott Carter·Masahico Saito
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Abstract

We construct solutions to the set-theoretic Yang-Baxter equation using braid group representations in free group automorphisms and their Fox differentials. The method resembles the extensions of groups and quandles.

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J. Scott Carter, Masahico Saito. 2005-03-08. Set Theoretic Yang-Baxter Solutions via Fox Calculus. https://arxiv.org/abs/math/0503166

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