Truman, P, Koch, A and Stordy, L (2020) Abelian fixed point free endomorphisms and the Yang-Baxter equation. New York Journal of Mathematics. (In Press)

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Abstract

We obtain a simple family of solutions to the set-theoretic Yang-Baxter equation, one which depends only on considering special endomorphisms of a finite group. We show how such an endomorphism gives rise to two non-degenerate solutions to the Yang-Baxter equation, solutions which are inverse to each other. We give concrete examples using dihedral, alternating, symmetric, and metacyclic groups.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via the website of the New York Journal of Mathematics at http://nyjm.albany.edu/nyjm.html - please refer to any applicable terms of use of the publisher.
Subjects: Q Science > QA Mathematics
Depositing User: Symplectic
Date Deposited: 20 Oct 2020 15:55
Last Modified: 20 Oct 2020 15:58
URI: https://eprints.keele.ac.uk/id/eprint/8773

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