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Let E/F be an algebraic extension and let K and L be intermediate fields (i.e. F...

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Advance Math

Let E/F be an algebraic extension and let K and L beintermediate fields (i.e. F ? K ? E and F ? L ? E). Assume that [K: F] and [L : F] are finite and that at least K/F or L/F is Galois.Prove that [KL : F] = [K : F][L : F] / [K ? L : F] .

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