Central extensions of symmetric groups as Galois groups (Q1124633)
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scientific article; zbMATH DE number 4112725
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Central extensions of symmetric groups as Galois groups |
scientific article; zbMATH DE number 4112725 |
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Central extensions of symmetric groups as Galois groups (English)
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1989
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The authors prove the following very interesting results: (1) \(\bar S_ 7\) is a Galois group over every number field. (2) Every central extension of \(S_ n\) is a Galois group over \({\mathbb{Q}}\) for \(n\leq 6\).
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inverse Galois problem
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\(\bar S_ 7\)
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central extension of \(S_ n\)
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