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The fundamental theorem of Galois theory states that there exists a correspondence between intermediate fields of a given field extension and the subgroups of its Galois group.

Conditions: Informal statement only; No explicit hypotheses on the extension are given; No formula for the correspondence map is shown

The fundamental theorem of Galois theory states that there exists a correspondence between intermediate fields of a given field extension and the subgroups of its Galois group.

Conditions: Informal statement only; No explicit hypotheses on the extension are given; No formula for the correspondence map is shown