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arxiv: 2604.03932 · v1 · submitted 2026-04-05 · 🧮 math.LO · math.GR

Cyclic group representations for relation algebras 57₆₅ and 63₆₅

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keywords cyclicgroupalgebrasfiniteknownrelationrepresentationsatom
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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.

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