Hoffman-Singleton、Higman-Sims和McLaughlin的图，以及特征5中的6次厄米特曲线
The graphs of Hoffman-Singleton, Higman-Sims, and McLaughlin, and the Hermitian curve of degree 6 in characteristic 5
摘要：
我们构造的图形霍夫曼-辛格尔顿，Higman-Sims，和麦克劳克林从一定的关系的非奇异二次曲线的集合上的厄米曲线的度6在特征5全切。然后，我们解释这个尺规作图法在这厄米曲线的自同构群的子群结构。
英文摘要：
We construct the graphs of Hoffman-Singleton, Higman-Sims, and McLaughlin from certain relations on the set of non-singular conics totally tangent to the Hermitian curve of degree 6 in characteristic 5. We then interpret this geometric construction in terms of the subgroup structure of the automorphism group of this Hermitian curve.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
