(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let K be a field, and let K' be an algebraic closure of K. Let sigma be

an automorphism of K' over K, and let F be the fix field of sigma. Let L/F

be any finite extension of F.

2. Relevant equations

Show that L/F is a finite Galois extension whose

Galois group Gal(L/F) is cyclic.

3. The attempt at a solution

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# Homework Help: Cyclic extension

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