PlanetMath: Shafarevich's theorem

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Shafarevich's theorem

(Theorem)

Theorem 1 (Shafarevich's Theorem) Every finite solvable group occurs as a Galois group of a finite extension of $\mathbb{Q}$ .

One can find a proof in [S-W].

Bibliography

S-W: Alexander Schmidt and Kay Wingberg, Shafarevich's Theorem on Solvable Groups as Galois Groups.

"Shafarevich's theorem" is owned by alozano.

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Keywords:

Galois, solvable

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Cross-references: finite extension, Galois group, solvable group, finite
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This is version 5 of Shafarevich's theorem, born on 2005-02-09, modified 2006-11-01.
Object id is 6729, canonical name is ShafarevichsTheorem.
Accessed 1498 times total.

Classification:

11R32 (Number theory :: Algebraic number theory: global fields :: Galois theory)

Pending Errata and Addenda

None.[ View all 1 ]

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