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.