An Algorithm for Constructing All Supercharacter Theories of a Finite Group
Group Theory
2019-11-28 v1
Abstract
In 2008, Diaconis annd 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.
Cite
@article{arxiv.1911.12232,
title = {An Algorithm for Constructing All Supercharacter Theories of a Finite Group},
author = {A. R. Ashrafi and L. Ghanbari Maman and K. Kavousi and F. Koorepazan Moftakhar},
journal= {arXiv preprint arXiv:1911.12232},
year = {2019}
}
Comments
30 pages, 2 figures