The compatibility condition for the embedding problem related to \(p\)-extension of groups (Q1303332)
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scientific article; zbMATH DE number 1337570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The compatibility condition for the embedding problem related to \(p\)-extension of groups |
scientific article; zbMATH DE number 1337570 |
Statements
The compatibility condition for the embedding problem related to \(p\)-extension of groups (English)
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5 October 1999
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The authors consider embedding problems \((K/k,G,\varphi)\) in the situation that \(\text{Gal}(K/k)\) is a \(p\)-group. They show that under certain conditions the problem is equivalent to its restriction to a \(p\)-Sylow group of \(\operatorname{Ker}\varphi\).
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embedding problems
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\(p\)-group
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Galois group
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0.9003286
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0.8876221
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0.88485205
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0.8837561
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0.88245654
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0.8819576
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0.8808774
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