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arXiv · 2206.08663

A census of small Schurian association schemes

Jesse Lansdown
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Abstract

Using the classification of transitive groups of degree $n$, for $2 \leqslant n \leqslant 48$, we classify the Schurian association schemes of order $n$, and as a consequence, the transitive groups of degree $n$ that are $2$-closed. In addition, we compute the character table of each association scheme and provide a census of important properties. Finally, we compute the $2$-closure of each transitive group of degree $n$, for $2 \leqslant n \leqslant 48$. The results of this classification are made available as a supplementary database.

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Jesse Lansdown. 2023-11-28. A census of small Schurian association schemes. https://arxiv.org/abs/2206.08663

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