Rationality criteria for Galois extensions
Some rationality criteria for finite Galois extensions overℂ(t)are explained. The first rationality criterion and the second rationality criterion, together with the corresponding examples are contained in the forthcoming lecture notes [27] (see also [23—25]). The rationality criteria in sections 4...
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| Main Author: | |
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| Format: | Chapter/Article Conference Paper |
| Language: | English |
| Published: |
1989
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| In: |
Galois Groups over ℚ
Year: 1989, Pages: 361-383 |
| DOI: | 10.1007/978-1-4613-9649-9_6 |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1007/978-1-4613-9649-9_6 Verlag, lizenzpflichtig, Volltext: https://link.springer.com/chapter/10.1007/978-1-4613-9649-9_6 
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| Author Notes: | B. Heinrich Matzat |
| Summary: | Some rationality criteria for finite Galois extensions overℂ(t)are explained. The first rationality criterion and the second rationality criterion, together with the corresponding examples are contained in the forthcoming lecture notes [27] (see also [23—25]). The rationality criteria in sections 4 and 5, the braid orbit theorem, and the twisted braid orbit theorem, are new. With the last one, the Mathieu group M24 is realized as Galois group over ℚ. |
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| Physical Description: | Online Resource |
| ISBN: | 9781461396499 |
| DOI: | 10.1007/978-1-4613-9649-9_6 |