Let F be a finite dimensional Galois extension of K and let L and M be two

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Let F be a finite dimensional Galois extension of K and let L and M be two intermediate fields.

(a) Aut_LMF = Aut_LF ∩ Aut_MF;

(b) Aut_L∩MF = Aut_LF ∨ Aut_MF;

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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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Let F be a finite dimensional Galois extension of K and let L and M be two

Question:

Step by Step Answer:

a The statement AutLMF AutLF AutMF is true This means that the automorphisms of LMF that fix both L and M ie AutLMF are precisely those that are autom...View the full answer

Algebra Graduate Texts In Mathematics 73

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