A census of small Schurian association schemes

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Abstract

Using the classification of transitive groups of degree n, for 2≤n≤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≤n≤48. The results of this classification are made available as a supplementary database.

Original languageEnglish
Pages (from-to)23-33
Number of pages11
JournalInternational Journal of Algebra and Computation
Volume34
Issue number1
Early online date29 Dec 2023
DOIs
Publication statusPublished - 2024

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