In mathematics, Shafarevich's theorem states that any finite solvable group is the Galois group of some finite extension of the rational numbers. It was first proved by Igor Shafarevich, though Alexander Schmidt later pointed out a gap in the proof, which was fixed by Shafarevich.
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| - Théorème de Chafarevich (fr)
- Shafarevich's theorem on solvable Galois groups (en)
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| - En mathématiques, le théorème de Shafarevich stipule que tout groupe fini résoluble est le groupe de Galois d'une extension finie des nombres rationnels, c'est à dire d'un corps de nombres. Il a d'abord été prouvé par Igor Chafarevitch (1954), bien qu'Alexander Schmidt ait plus tard souligné une lacune dans la preuve, qui a été corrigée par Chafarevich en 1989. (fr)
- In mathematics, Shafarevich's theorem states that any finite solvable group is the Galois group of some finite extension of the rational numbers. It was first proved by Igor Shafarevich, though Alexander Schmidt later pointed out a gap in the proof, which was fixed by Shafarevich. (en)
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| - En mathématiques, le théorème de Shafarevich stipule que tout groupe fini résoluble est le groupe de Galois d'une extension finie des nombres rationnels, c'est à dire d'un corps de nombres. Il a d'abord été prouvé par Igor Chafarevitch (1954), bien qu'Alexander Schmidt ait plus tard souligné une lacune dans la preuve, qui a été corrigée par Chafarevich en 1989. (fr)
- In mathematics, Shafarevich's theorem states that any finite solvable group is the Galois group of some finite extension of the rational numbers. It was first proved by Igor Shafarevich, though Alexander Schmidt later pointed out a gap in the proof, which was fixed by Shafarevich. (en)
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