论文标题

小胡克协会计划的人口普查

A census of small Schurian association schemes

论文作者

Lansdown, Jesse

论文摘要

使用$ n $的及时分类组的分类,以$ 2 \ leqslant n \ leqslant 48 $分类,我们将订单$ n $的Schurian协会协会方案进行分类,结果,$ 2 $ $ 2 $ $ $ n $的及时式$ n $。此外,我们计算每个关联方案的字符表,并提供重要特性的人口普查。最后,我们计算了每种$ n $ $ n $的$ 2 $ cluber,$ 2 \ leqslant n \ leqslant 48 $。此分类的结果可作为补充数据库提供。

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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