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A census of small Schurian association schemes
International Journal of Algebra and Computation ( IF 0.8 ) Pub Date : 2023-12-29 , DOI: 10.1142/s0218196723500674 Jesse Lansdown 1, 2
中文翻译:
小型 Schurian 协会计划的普查
更新日期:2023-12-29
International Journal of Algebra and Computation ( IF 0.8 ) Pub Date : 2023-12-29 , DOI: 10.1142/s0218196723500674 Jesse Lansdown 1, 2
Affiliation
Using the classification of transitive groups of degree n, for , 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 . The results of this classification are made available as a supplementary database.
中文翻译:
小型 Schurian 协会计划的普查
使用n次传递群的分类,对于,我们对n阶 Schurian 关联方案进行分类,因此,n次传递群是 2-闭的。此外,我们计算每个关联方案的字符表并提供重要属性的普查。最后,我们计算每个n次传递群的 2-闭包,对于。该分类的结果作为补充数据库提供。