Abstract
Frobenius is generally considered the creator of character theory of finite groups. This achievement came from the study of the group determinant, which is the determinant of a matrix coming from the regular representation. We generalize several of Frobenius’ results about the group determinant and use them to find a new formulation of supercharacter theory in terms of factorizations of the group determinant.
Citation
Shawn Burkett. "Supercharacter theory via the group determinant." Rocky Mountain J. Math. 51 (2) 447 - 458, April 2021. https://doi.org/10.1216/rmj.2021.51.447
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