Projects per year
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 language | English |
---|---|
Pages (from-to) | 23-33 |
Number of pages | 11 |
Journal | International Journal of Algebra and Computation |
Volume | 34 |
Issue number | 1 |
Early online date | 29 Dec 2023 |
DOIs | |
Publication status | Published - 2024 |
Fingerprint
Dive into the research topics of 'A census of small Schurian association schemes'. Together they form a unique fingerprint.Datasets
-
Database of small Schurian association schemes
Lansdown, J. (Creator), Zenodo, 2022
DOI: 10.5281/zenodo.6640763, https://zenodo.org/api/records/6640763
Dataset
-
Database of small Schurian association schemes
Lansdown, J. (Creator), Zenodo, 14 Jun 2022
DOI: 10.5281/zenodo.8025982, https://zenodo.org/record/8025982
Dataset
Projects
- 1 Finished
-
The synchronisation hierarchy of permutation groups
Bamberg, J. (Investigator 01), Giudici, M. (Investigator 02) & Royle, G. (Investigator 03)
ARC Australian Research Council
1/07/20 → 31/12/23
Project: Research