Let Fn be a cyclotomic extension of Q of order n (a) Determine Aut Q F 5 and all intermediate fields (b) Do the same for F 8 (c) Do the same for F 7 if is a primitive 7th root of unity what is the irreducible polynomial over Q of 1 ...

a The extension F5 is a degree 4 extension of Q so any automorphism of F5 fixing Q must send a primitive 5th root of unity to another primitive 5th ro ...

Let Fn be a cyclotomic extension of Q of order n. (a) Determine Aut Q F 5

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Let Fn be a cyclotomic extension of Q of order n.

(a) Determine Aut_QF₅ and all intermediate fields.

(b) Do the same for F₈.

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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 20, 2023 02:49 AM

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Let Fn be a cyclotomic extension of Q of order n. (a) Determine Aut Q F 5

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a The extension F5 is a degree 4 extension of Q so any automorphism of F5 fixing Q must send a primitive 5th root of unity to another primitive 5th ro...View the full answer

Algebra Graduate Texts In Mathematics 73

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