Weights of partitions and character zeros. (Q1883699)
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scientific article; zbMATH DE number 2107518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weights of partitions and character zeros. |
scientific article; zbMATH DE number 2107518 |
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Weights of partitions and character zeros. (English)
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13 October 2004
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Summary: We classify partitions which are of maximal \(p\)-weight for all odd primes \(p\). As a consequence, we show that any non-linear irreducible character of the symmetric and alternating groups vanishes on some element of prime order.
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partitions of maximal weight
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non-linear irreducible characters
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symmetric groups
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alternating groups
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