Finite groups whose irreducible Brauer characters have prime power degrees. (Q466134)
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scientific article; zbMATH DE number 6361336
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups whose irreducible Brauer characters have prime power degrees. |
scientific article; zbMATH DE number 6361336 |
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Finite groups whose irreducible Brauer characters have prime power degrees. (English)
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24 October 2014
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Let \(p\) be a prime. The author classifies the finite quasisimple groups all of whose irreducible \(p\)-Brauer characters have prime power degrees. As a corollary, for \(p\neq 2\), the author obtains a classification of the finite nonsolvable groups all of whose irreducible \(p\)-Brauer characters have prime power degrees. Another consequence is the classification, for an arbitrary prime \(p\), of all finite groups whose nonlinear irreducible \(p\)-Brauer characters have prime degrees.
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finite quasisimple groups
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irreducible Brauer characters
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character degrees
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prime graphs
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defect zero graphs
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