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Supercharacter theories and Schur rings

Published 7 Jun 2010 in math.GR and math.RT | (1006.1363v1)

Abstract: Diaconis and Isaacs have defined the supercharacter theories of a finite group to be certain approximations to the ordinary character theory of the group. We make explicit the connection between supercharacter theories and Schur rings, and we provide supercharacter theory constructions which correspond to Schur ring constructions of Leung and Man and of Tamaschke.

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