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A problem on extensions of fields

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Prove that if [F(x):F] is odd, then F(x)=F(x^2).

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Solution Summary

A problem on extension of fields are examined. The expert proves a function is odd.

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Please see the attached file.

The Galois group of this extension has odd order, therefore the map is an automorphism (2 doesn't divide the order of the ...

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