A note on element orders and character codegrees. (Q636795)
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scientific article; zbMATH DE number 5944303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on element orders and character codegrees. |
scientific article; zbMATH DE number 5944303 |
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A note on element orders and character codegrees. (English)
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30 August 2011
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The main result of this paper is: Theorem. Let \(G\) be a finite solvable group and let \(g\) be an element of \(G\). Then there exists an irreducible character \(\chi\) of \(G\) with \(\ker(\chi)\cap\langle g\rangle=\{1\}\) and where \(p\) divides \(|G:\ker(\chi)|/\chi(1)\) for any prime divisor \(p\) of the order of \(g\).
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finite solvable groups
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element orders
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characters
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character degrees
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