On separability of Tatra association schemes
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914543871983616 |
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| author | Ryabov, Grigory |
| author_facet | Ryabov, Grigory |
| contents | A Tatra association scheme is an association scheme arising from a symmetric bilinear form defined on the equivalence classes of nonzero $2$-dimensional vectors modulo some subgroup of the multiplicative group of a finite field. In the present paper, we prove that every such association scheme is $2$-separable, i.e. it is determined up to isomorphism by the tensor of its $2$-dimensional intersection numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07672 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On separability of Tatra association schemes Ryabov, Grigory Combinatorics 05E30, 20B25 A Tatra association scheme is an association scheme arising from a symmetric bilinear form defined on the equivalence classes of nonzero $2$-dimensional vectors modulo some subgroup of the multiplicative group of a finite field. In the present paper, we prove that every such association scheme is $2$-separable, i.e. it is determined up to isomorphism by the tensor of its $2$-dimensional intersection numbers. |
| title | On separability of Tatra association schemes |
| topic | Combinatorics 05E30, 20B25 |
| url | https://arxiv.org/abs/2605.07672 |