Cyclic group representations for relation algebras $57_{65}$ and $63_{65}$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911567878029312 |
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| author | Alm, Jeremy F. |
| author_facet | Alm, Jeremy F. |
| contents | We exhibit finite cyclic group representations for relation algebras $57_{65}$ and $63_{65}$. As a consequence, of the ten symmetric integral RAs on four atoms having at least one flexible atom, all are now known to have a representation over a finite cyclic group except for $33_{65}$, which is not even known to be finitely representable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03932 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cyclic group representations for relation algebras $57_{65}$ and $63_{65}$ Alm, Jeremy F. Logic Group Theory 03G15 We exhibit finite cyclic group representations for relation algebras $57_{65}$ and $63_{65}$. As a consequence, of the ten symmetric integral RAs on four atoms having at least one flexible atom, all are now known to have a representation over a finite cyclic group except for $33_{65}$, which is not even known to be finitely representable. |
| title | Cyclic group representations for relation algebras $57_{65}$ and $63_{65}$ |
| topic | Logic Group Theory 03G15 |
| url | https://arxiv.org/abs/2604.03932 |