Galkin Quandles, Pointed Abelian Groups, and Sequence $A000712$

W. Edwin Clark, Xiang-dong Hou

For each pointed abelian group $(A,c)$, there is an associated {\em Galkin quandle} $G(A,c)$ which is an algebraic structure defined on ${\mathbb{Z}}_3\times A$ that can be used to const…