A criterium for monomiality. (Q396504)
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scientific article; zbMATH DE number 6329768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A criterium for monomiality. |
scientific article; zbMATH DE number 6329768 |
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A criterium for monomiality. (English)
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13 August 2014
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Summary: Let \(G\) be a solvable group. An odd degree rational valued character \(\chi\) of \(G\) is induced from a linear character of some subgroup of \(G\). We extend this result to odd degree characters \(\chi\) of \(G\) that take values in certain cyclotomic extensions of \(\mathbb Q\).
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monomial characters
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induced characters
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finite solvable groups
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rational valued characters
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characters of odd degree
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