An algorithm for constructing all supercharacter theories of a finite group

نویسندگانA. R. Ashrafi, L. Ghanbari−Maman, K. Kavousi and F. Koorepazan−Moftakhar
نشریهArs Mathematica Contemporanea
شماره صفحات149-162
شماره سریال1
شماره مجلد18
نوع مقالهFull Paper
تاریخ انتشار2020
رتبه نشریهISI
نوع نشریهچاپی
کشور محل چاپاسلوونی

چکیده مقاله

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.

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