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) AutLMF = AutLF ∩ AutMF;
(b) AutL∩MF = AutLF ∨ AutMF;
(c) What conclusion can be drawn if AutLF ∩ AutMF = 1?
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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
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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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