Supercharacter theory via the group determinant

arXiv2003.12695MaRDI QIDQ6337557

Publication date: 27 March 2020

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.

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

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