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Finite Fields of Same Cardinality = Isomorphic

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Theorem
NumberTheory

Theorem

Let F\mathbb{F} and F\mathbb{F}' be finite fields of size q=pnq=p^{n}. Then FF\mathbb{F}\cong\mathbb{F}'i.e. F\mathbb{F} and F\mathbb{F}' are isomorphic.