Hal Simpson (University of Leeds) – Bicyclic Biskew Braces

Abstract: Skew braces are an algebraic structure with close historical and practical ties to the set-theoretic Yang-Baxter equation. We will discuss existing results about skew braces, covering gamma functions, the connection between skew braces and regular subgroups of the holomorph of a group, results about bi-skew braces, and ideals. We will use this to completely classify the finite bicyclic skew braces, and, among them, which are bi-skew.