An algorithm for constructing all supercharacter theories of a finite group

AuthorsA. R. Ashrafi, L. Ghanbari−Maman, K. Kavousi and F. Koorepazan−Moftakhar
JournalArs Mathematica Contemporanea
Page number149-162
Serial number1
Volume number18
Paper TypeFull Paper
Published At2020
Journal GradeISI
Journal TypeTypographic
Journal CountrySlovenia

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.

Paper URL