Geodesic
An algorithm for constructing all supercharacter theories of a finite group
Ars Mathematica Contemporanea, Tome 18 (2020) no. 1, pp. 149-162.

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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.
DOI : 10.26493/1855-3974.1936.8c6
Keywords: Supercharacter theory‎, ‎superclass‎, ‎conjugacy class‎, ‎irreducible character 
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Ali Reza Ashrafi; Leila Ghanbari-Maman; Kaveh ‎Kavousi; Fatemeh ‎Koorepazan-Moftakhar. An algorithm for constructing all supercharacter theories of a finite group. Ars Mathematica Contemporanea, Tome 18 (2020) no. 1, pp. 149-162. doi : 10.26493/1855-3974.1936.8c6. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1936.8c6/

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