preprint
Inserted: 1 dec 2023
Last Updated: 1 dec 2023
Year: 2022
Abstract:
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 $k\geq 2$. In this article we provide a counterexample against this
conjecture.