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== Structure of Galois groups ==
=== Fundamental theorem of Galois theory ===
One of the important structure theorems from Galois theory comes from the [[fundamental theorem of Galois theory]]. This states that given a finite Galois extension <math>K/k</math>,
:<math>E = K^H = \{ a\in K : ga = a \text{ where } g \in H \}</math>
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