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math.RT2020
Supercharacter theory via the group determinant
Shawn T. Burkett
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 dete…
math.RT2019
Vanishing-off subgroups and supercharacter theory products
Shawn T. Burkett, Mark L. Lewis
In this paper, we study the vanishing-off subgroups of supercharacters, and use these to determine several new characterizations of supercharacter theory products. In particular, w…