Groups of small order as Galois groups over \({\mathbb{Q}}\) (Q917596)
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scientific article; zbMATH DE number 4156576
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Groups of small order as Galois groups over \({\mathbb{Q}}\) |
scientific article; zbMATH DE number 4156576 |
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Groups of small order as Galois groups over \({\mathbb{Q}}\) (English)
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1989
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The main result of this paper is that every group of order less than 672 is a Galois group over the field of rational numbers. The proof is based on cohomological methods and uses known results about the realization of various special groups of small order as Galois groups over number fields.
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finite groups
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Galois group
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field of rational numbers
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