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Let F2(t) denote the field of rational functions in t over F2. (a) Prove that F2(t)/F2(t) is not Galois. (b) Prove that Fi(t)/F(t) is
Let F2(t) denote the field of rational functions in t over F2. (a) Prove that F2(t)/F2(t) is not Galois. (b) Prove that Fi(t)/F(t) is Galois. (c) For which values of n is F2 (t)/F2n (t) Galois? Justify your answer.
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