Counterexample to a conjecture about dihedral quandle

Saikat Panja, Sachchidanand Prasad

It was conjectured that the augmentation ideal of a dihedral quandle of even order $n>2$ satisfies $|{\Delta }^k({\text{R}}_n)/{\Delta }^{k+1}({\text{R}}_n)|=n$ for all $k\ge 2$. In this article we…