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arXiv · 2003.12695

Supercharacter theory via the group determinant

Shawn T. Burkett
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Abstract

Ferdinand Georg 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. In this paper, we generalize several of Frobenius' results about the group determinant and use them find a new formulation of supercharacter theory in terms of factorizations of the group determinant.

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Shawn T. Burkett. 2020-03-28. Supercharacter theory via the group determinant. https://arxiv.org/abs/2003.12695

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