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arXiv · 1506.00015

Groups with exactly two supercharacter theories

Shawn Burkett·Jonathan Lamar·Mark L. Lewis·Casey Wynn
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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 $\mathbb{Z}_3$ and $S_3$. We also show that the only nonsolvable group with two supercharacter theories is ${\rm Sp} (6,2)$.

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Shawn Burkett, Jonathan Lamar, Mark L. Lewis, Casey Wynn. 2015-10-12. Groups with exactly two supercharacter theories. https://arxiv.org/abs/1506.00015

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