秩为 5 和 6 的原始可解置换群的分类

Pub Date : 2024-04-29 DOI:10.1515/jgth-2023-0205

Anakin Dey, Kolton O’Neal, Duc Van Khanh Tran, Camron Upshur, Yong Yang

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引用次数: 0

摘要

设𝐺是一个有限可解的置换群，它忠实而原始地作用于有限集 Ω。让 G 0 G_{0} 是 Ω 中点 𝛼 的稳定器。𝐺 的秩定义为 G 0 G_{0} 在 Ω 中的轨道数，包括微轨道 { α } 。 \。在本文中，我们对 𝐺 的秩为 5 和 6 的情况进行了完全分类，延续了之前对秩为 4 或更低的群进行分类的工作。

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