Shafarevich’s theorem

Theorem (Shafarevich’s Theorem).

Every finite solvable groupMathworldPlanetmath occurs as a Galois groupMathworldPlanetmath of a finite extensionMathworldPlanetmath of Q.

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


  • S-W Alexander Schmidt and Kay Wingberg,’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