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- Title
A census of small Schurian association schemes.
- Authors
Lansdown, Jesse
- Abstract
Using the classification of transitive groups of degree n, for 2 ≤ n ≤ 4 8 , 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 ≤ 4 8. The results of this classification are made available as a supplementary database.
- Subjects
CENSUS; DATABASES; PERMUTATION groups
- Publication
International Journal of Algebra & Computation, 2024, Vol 34, Issue 1, p23
- ISSN
0218-1967
- Publication type
Article
- DOI
10.1142/S0218196723500674