\(\operatorname {SL}(2,11)\) is \({\mathbb Q}\)-admissible (Q1858252)
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scientific article; zbMATH DE number 1868063
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\operatorname {SL}(2,11)\) is \({\mathbb Q}\)-admissible |
scientific article; zbMATH DE number 1868063 |
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\(\operatorname {SL}(2,11)\) is \({\mathbb Q}\)-admissible (English)
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12 February 2003
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Let \(F\) be an algebraic number field. A field extension \(N\) of \(F\) is called \(F\)-adequate if it is the maximal subfield of a central division algebra over \(F\). A finite group is called \(F\)-admissible if it is the Galois group of an \(F\)-adequate Galois extension of \(F\). The author proves that the group \(\text{SL}(2,11)\) is admissible for the field of rational numbers.
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admissible field extension
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maximal subfield
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central division algebra
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Galois group
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adequate Galois extension
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