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 [Formula: see text]-product or ∗-product from the values of its corresponding supercharacters.

中文翻译：

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消失子群和超特征理论产品

在本文中，我们研究了超字符的消失子群，并使用这些来确定超字符理论产品的​​几个新表征。特别是，我们给出了一个字符理论表征，它使我们可以得出结论，一个超字符理论是根据其相应超字符的值确定的[公式：见文本]-乘积还是*-乘积。