Groups with exactly two supercharacter theories |
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| Authors: | Shawn Burkett Jonathan Lamar Casey Wynn |
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| Affiliation: | 1. Department of Mathematics, University of Colorado, Boulder, Colorado, USA;2. Department of Mathematical Sciences, Kent State University, Kent, Ohio, USA |
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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 ?3 and S3. We also show that the only nonsolvable group with two supercharacter theories is Sp(6,2). |
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| Keywords: | Rational groups simple groups supercharacter theories |
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