Abstract In this paper, we study the relations of the sizes of various sections of finite linear groups and the largest orbit size of the linear group actions. We also study various applications of those orbit theorems.

中文翻译：

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有限群作用中的大轨道尺寸

摘要 本文研究了有限线性群各截面尺寸与线性群作用最大轨道尺寸的关系。我们还研究了这些轨道定理的各种应用。