Counterexample to a conjecture about dihedral quandle
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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| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
25-05-2022
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2205.15024 |