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arXiv · 2205.15024

Counterexample to a conjecture about dihedral quandle

Saikat Panja·Sachchidanand Prasad
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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.

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Saikat Panja, Sachchidanand Prasad. 2022-05-25. Counterexample to a conjecture about dihedral quandle. https://doi.org/10.18514/mmn.2024.4383

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