Shafarevich’s theorem
Theorem (Shafarevich’s Theorem).
Every finite solvable group
occurs as a Galois group
of a finite extension
of .
One can find a proof in [S-W].
References
- S-W Alexander Schmidt and Kay Wingberg, http://www.math.uiuc.edu/Algebraic-Number-Theory/0136/Shafarevich’s Theorem on Solvable Groups as Galois Groups.
| Title | Shafarevich’s theorem |
|---|---|
| Canonical name | ShafarevichsTheorem |
| Date of creation | 2013-03-22 15:01:17 |
| Last modified on | 2013-03-22 15:01:17 |
| Owner | alozano (2414) |
| Last modified by | alozano (2414) |
| Numerical id | 8 |
| Author | alozano (2414) |
| Entry type | Theorem |
| Classification | msc 11R32 |
| Related topic | InverseGaloisProblem |
| Related topic | Solvable |