If is a group of automorphisms of a field and if is a fixed field of then . How would I prove this?
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Originally Posted by heathrowjohnny If is a group of automorphisms of a field and if is a fixed field of then . There is a result due to Artin . Let be a finite group of automorphism of , let be the fixed subfield, then is finite and . Note, you need the sign.
Last edited by ThePerfectHacker; Mar 1st 2008 at 08:35 PM.
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