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An algorithm for constructing all supercharacter theories of a finite group
Ashrafi, A. R ; Sharif University of Technology | 2020
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- Type of Document: Article
- DOI: 10.26493/1855-3974.1936.8C6
- Publisher: Society of Mathematicians, Physicists and Astronomers of Slovenia , 2020
- 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. © 2020 Society of Mathematicians, Physicists and Astronomers of Slovenia. All rights reserved
- Keywords:
- Conjugacy class ; Irreducible character ; Supercharacter theory ; Superclass
- Source: Ars Mathematica Contemporanea ; Volume 18, Issue 1 , 2020 , Pages 149-162
- URL: https://amc-journal.eu/index.php/amc/article/view/1936