Abstract The Jordan–Hölder theorem is a general term given to a collection of theorems about maximal chains in suitably nice lattices. For example, the well-known Jordan–Hölder type theorem for chief series of finite groups has been rather useful in studying the structure of finite groups. In this paper, we present a Jordan–Hölder type theorem for supercharacter theories of finite groups, which generalizes the one for chief series of finite groups.

中文翻译：

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超字符理论的 Jordan-Hölder 型定理

摘要 Jordan-Hölder 定理是一个通用术语，用于描述关于合适格子中最大链的一系列定理。例如，著名的有限群主级数的 Jordan-Hölder 型定理在研究有限群的结构时非常有用。在本文中，我们提出了有限群超特征理论的 Jordan-Hölder 型定理，它推广了有限群主级数的定理。