Fundamental Theorem of Galois


Normal extension of
Automorphism group of with as a fixed field
Intermediate field that satisfies
Subgroup that satisfies
and have the following one-to-one relation:
.
In other words, intermediate fields of a normal extension and subgroups of an automorphism group have a one-to-one relation.
An automorphism group is denominated a Galois group.

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