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 Aut_KF.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 16, 2023 03:50 AM

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If F is a finite dimensional Galois extension of K and E is an intermediate field, then

Question:

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

Algebra Graduate Texts In Mathematics 73

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