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arXiv · 1903.00371

A J\"ordan-Holder type theorem for supercharacter theories

Shawn T. Burkett
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Abstract

The Jordan-H\"older Theorem is a general term given to a collection of theorems about maximal chains in suitably nice lattices. For example, the well-known Jordan-H\"older 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-H\"older type theorem for supercharacter theories of finite groups, which generalizes the one for chief series of finite groups.

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Shawn T. Burkett. 2019-03-01. A J\"ordan-Holder type theorem for supercharacter theories. https://arxiv.org/abs/1903.00371

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