If F is a finite dimensional Galois extension of K and E is an intermediate field, then
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If F is a finite dimensional Galois extension of K and E is an intermediate field, then there is a unique smallest field L such that E ⊂ L ⊂ F and L is Galois over K; furthermore where σ runs over AutKF.
Transcribed Image Text:
AutLF = o(AuteF)o-¹, σ
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Let F be a finite Galois extension of K and let E be an intermediate field ie K E F First note that ...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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