Abstract
Supercharacters and Kirillov functions have been proposed as two related constructions that mimic the characters of certain p-groups. The irreducible constituents of these functions are intimately linked; specifically, irreducible constituents of a Kirillov function are constituents of the corresponding supercharacter.
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References
Diaconis P., Isaacs I.M.: Supercharacters and superclasses for algebra groups. Trans. Amer. Math. Soc. 360, 2359–2392 (2004)
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I. M. Isaacs, Character Theory of Finite Groups, Dover Publications, Inc., 1994.
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Otto, B.A. Constituents of supercharacters and Kirillov functions. Arch. Math. 94, 319–326 (2010). https://doi.org/10.1007/s00013-009-0089-1
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DOI: https://doi.org/10.1007/s00013-009-0089-1