Let K be a field, K an algebraic closure of K and Aut K K.
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Let K be a field, K̅ an algebraic closure of K and σ ϵ AutKK̅. Let 
Then F is a field and every finite dimensional extension of F is cyclic.
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ANSWER To prove that F is a field we need to show that it satisfies the two field axioms i it is closed under addition and multiplication and ii it ha...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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