Cyclic group representations for relation algebras $57_{65}$ and $63_{65}$
Logic
2026-04-07 v1 Group Theory
Abstract
We exhibit finite cyclic group representations for relation algebras and . 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 , which is not even known to be finitely representable.
Cite
@article{arxiv.2604.03932,
title = {Cyclic group representations for relation algebras $57_{65}$ and $63_{65}$},
author = {Jeremy F. Alm},
journal= {arXiv preprint arXiv:2604.03932},
year = {2026}
}