Counterexample to a conjecture about dihedral quandle
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913462431514624 |
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| author | Panja, Saikat Prasad, Sachchidanand |
| author_facet | Panja, Saikat Prasad, Sachchidanand |
| contents | It was conjectured that the augmentation ideal of a dihedral quandle of even order $n>2$ satisfies $|Δ^k(\text{R}_n)/Δ^{k+1}(\text{R}_{n})|=n$ for all $k\geq 2$. In this article we provide a counterexample against this conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_15024 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Counterexample to a conjecture about dihedral quandle Panja, Saikat Prasad, Sachchidanand Group Theory Rings and Algebras Primary: 20N02, Secondary: 20B25, 16S34, 17D99 It was conjectured that the augmentation ideal of a dihedral quandle of even order $n>2$ satisfies $|Δ^k(\text{R}_n)/Δ^{k+1}(\text{R}_{n})|=n$ for all $k\geq 2$. In this article we provide a counterexample against this conjecture. |
| title | Counterexample to a conjecture about dihedral quandle |
| topic | Group Theory Rings and Algebras Primary: 20N02, Secondary: 20B25, 16S34, 17D99 |
| url | https://arxiv.org/abs/2205.15024 |