Burnside's \(p^ \alpha\)-lemma (Q1813381)
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scientific article; zbMATH DE number 6214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Burnside's \(p^ \alpha\)-lemma |
scientific article; zbMATH DE number 6214 |
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Burnside's \(p^ \alpha\)-lemma (English)
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25 June 1992
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The author proves the following result: If the number of elements in a conjugacy class of a finite group is equal to a power of a prime, then this conjugacy class generates a solvable group. A stronger version of this result was shown earlier by the author.
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number of elements
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conjugacy class
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finite group
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solvable group
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