An algorithm for constructing all supercharacter theories of a finite group

Ali Reza Ashrafi, Leila Ghanbari-Maman, Kaveh ‎Kavousi, Fatemeh ‎Koorepazan-Moftakhar

Abstract


In 2008, Diaconis and Isaacs introduced the notion of a supercharacter theory of a finite group in which supercharacters replace with irreducible characters and superclasses by conjugacy classes. In this paper, we introduce an algorithm for constructing supercharacter theories of a finite group by which all supercharacter theories of groups containing up to 14 conjugacy classes are calculated.


Keywords


Supercharacter theory‎, ‎superclass‎, ‎conjugacy class‎, ‎irreducible character

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DOI: https://doi.org/10.26493/1855-3974.1936.8c6

ISSN: 1855-3974

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