In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions.
In its most basic form, the theorem asserts that given a field extension E /F which is finite and Galois, there is a one-to-one correspondence between its intermediate fields and subgroups of its Galois group. (Intermediate fields are fields K satisfying F ⊆ K ⊆ E; they are also called subextensions of E /F.)
Read more about Fundamental Theorem Of Galois Theory: Proof, Explicit Description of The Correspondence, Properties of The Correspondence, Example, Applications, Infinite Case
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