Zeros of irreducible characters of metabelian \(p\)-groups (Q2313571)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zeros of irreducible characters of metabelian \(p\)-groups |
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Zeros of irreducible characters of metabelian \(p\)-groups (English)
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19 July 2019
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Summary: We show that if \(\chi\) is an irreducible complex character of a metabelian \(p\)-group \(P\), where \(p\) is an odd prime, and if \(x\in P\) satisfies \(\chi(x)\neq 0\), then the order of \(x\) divides \(|P|/\chi(1)^2\).
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irreducible character
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metabelian group
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\(p\)-group
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