For a finite field extension of degree n the intermediate fields are in bijection with the divisors of n and the Galois group is cyclic of order n, yielding the Galois correspondence in this case.
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Galois theory for finite fields
For a finite field extension of degree n the intermediate fields are in bijection with the divisors of n and the Galois group is cyclic of order n, yielding the Galois correspondence in this case.