Powers in alternating simple groups (Q2825919)
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scientific article; zbMATH DE number 6638671
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Powers in alternating simple groups |
scientific article; zbMATH DE number 6638671 |
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13 October 2016
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alternating group
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simple group
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power subgroups
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word maps
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Powers in alternating simple groups (English)
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The author gives an elementary proof of the following theorem:NEWLINENEWLINELet \(p\) be a prime number. Every element in an alternating group \(A_n\) can be written as a product of two \(p^k\)-th powers in \(A_n\).
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