Character degrees of extensions of \(\mathrm{PSL}_2(q)\) and \(\mathrm{SL}_2(q)\). (Q2856526)
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scientific article; zbMATH DE number 6220658
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Character degrees of extensions of \(\mathrm{PSL}_2(q)\) and \(\mathrm{SL}_2(q)\). |
scientific article; zbMATH DE number 6220658 |
Statements
29 October 2013
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irreducible complex characters
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character degrees
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character tables
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projective special linear groups
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0.95388997
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0.9149265
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0.90439475
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0.8982215
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0.8925638
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0.8918066
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0.89100164
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Character degrees of extensions of \(\mathrm{PSL}_2(q)\) and \(\mathrm{SL}_2(q)\). (English)
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The author determines, for all values of \(q>3\), the degrees of the irreducible complex characters of every group \(H\) such that \(S\leq H\leq\Aut(S)\), where \(S\) is the projective special linear group \(\mathrm{PSL}_2(q)\). Also, the author determines the character degrees of certain extensions of the special linear group \(\mathrm{SL}_2(q)\). Explicit knowledge of the character tables of \(\mathrm{SL}_2(q)\), \(\mathrm{GL}_2(q)\), \(\mathrm{PSL}_2(q)\), and \(\mathrm{PGL}_2(q)\) is used along with standard Clifford theory to obtain the degrees.
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