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Communications in Algebra Volume 40, 2012 - Issue 12
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Original Articles

Supercharacter Theory Constructions Corresponding to Schur Ring Products

Anders O. F. Hendrickson Department of Mathematics, Saint Norbert College, De Pere, Wisconsin, USACorrespondence[email protected]
Pages 4420-4438 | Received 19 May 2011, Published online: 10 Oct 2012
 
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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 [Citation7]. We make explicit the connection between supercharacter theories and Schur rings, and we provide supercharacter theory constructions which correspond to Schur ring products of Leung and Man [Citation12], Hirasaka and Muzychuk [Citation10], and Tamaschke [Citation20].

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

Before closing this article, I wish to express my gratitude to two anonymous referees for their valuable suggestions.

Notes

Communicated by A. Turull.

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