Shafarevich's theorem on solvable Galois groups
= Shafarevich's theorem on solvable Galois groups
{wiki=Shafarevich's_theorem_on_solvable_Galois_groups}
Shafarevich's theorem, often discussed in the context of algebraic number theory, specifically addresses the solvability of Galois groups of field extensions. The theorem essentially states that under certain conditions, a Galois extension of a number field can have a Galois group that is solvable.