All Outputs (2)

Abelian fixed point free endomorphisms and the Yang-Baxter equation (2020)
Journal Article
Koch, A., Stordy, L., & Truman, P. J. (2020). Abelian fixed point free endomorphisms and the Yang-Baxter equation

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-B... Read More about Abelian fixed point free endomorphisms and the Yang-Baxter equation.

Opposite Skew Left Braces and Applications (2020)
Journal Article
Koch, A., & Truman, P. (2020). Opposite Skew Left Braces and Applications. Journal of Algebra, 218-235. https://doi.org/10.1016/j.jalgebra.2019.10.033

Given a skew left brace B, we introduce the notion of an \opposite" skew left brace B0, which is closely related to the concept of the opposite of a group, and provide several applications. Skew left braces are closely linked with both solutions to t... Read More about Opposite Skew Left Braces and Applications.