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Vanishing-off subgroups and supercharacter theory products

2019/04/26 by Burkett, Shawn T., Lewis, Mark L. · 1 citation
#20C15 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1904.11881

Abstract

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, we give a character theoretic characterization that allows us to conclude that one may determine if a supercharacter theory is a Δ-product or ∗-product from the values of its corresponding supercharacters.

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