Extension of Fields
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Let K/F be an extension of fields such that [K:F]=p, where p is prime. Show that K = F(a) for every element a of K that is not in F.
(Hint: This problem compares 3 fields).
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Solution Summary
The solution compares 3 fields to show that K = F(a) for every element a of K that is not in F.
Solution Preview
If E is an intermediate field between F and K, then its degree over F satisfies the formula: ...
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