Groups with exactly two supercharacter theories
Group Theory
2015-10-14 v2
Abstract
In this paper, we classify those finite groups with exactly two supercharacter theories. We show that the solvable groups with two supercharacter theories are and . We also show that the only nonsolvable group with two supercharacter theories is .
Cite
@article{arxiv.1506.00015,
title = {Groups with exactly two supercharacter theories},
author = {Shawn Burkett and Jonathan Lamar and Mark L. Lewis and Casey Wynn},
journal= {arXiv preprint arXiv:1506.00015},
year = {2015}
}
Comments
7 pages Added work that shows that ${\rm Sp} (6,2)$ has only two supercharacter theories