A generalization of Burnside's problem relative to exponent \(4\) (Q1897577)
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scientific article; zbMATH DE number 792849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of Burnside's problem relative to exponent \(4\) |
scientific article; zbMATH DE number 792849 |
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A generalization of Burnside's problem relative to exponent \(4\) (English)
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22 February 1996
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Let \(G\) be a group and let \(n\) be a positive integer. An automorphism \(\sigma\) of \(G\) is said to be \(n\)-splitting if \(gg^\sigma \dots g^{\sigma^{n-1}} = 1\) for all \(g \in G\). The author proves that every 2-group admitting a 4-splitting automorphism is locally finite.
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locally finite groups
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2-groups
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\(4\)-splitting automorphisms
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0.8654148578643799
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0.8575641512870789
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0.8575641512870789
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0.8112185001373291
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