A J\"ordan-Holder type theorem for supercharacter theories
Group Theory
2019-03-04 v1
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.
Cite
@article{arxiv.1903.00371,
title = {A J\"ordan-Holder type theorem for supercharacter theories},
author = {Shawn T. Burkett},
journal= {arXiv preprint arXiv:1903.00371},
year = {2019}
}