The fields Q(2) and Q(3 2) are the same, of course Let 3 2 a Find a conjugate of over Q b Referring to part (a), compare the conjugation automorphism 2, 2 of Q(2) with the conjugation automorphism ...

a We have 3 2 is a conjugate of 3 2 They are ...

The fields Q(2) and Q(3+2) are the same, of course. Let = 3 + 2. a.

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The fields Q(√2) and Q(3+√2) are the same, of course. Let α = 3 + √2.

a. Find a conjugate β ≠ α of α over Q.

b. Referring to part (a), compare the conjugation automorphism ψ_√2,-√2 of Q(√2) with the conjugation automorphism ψ_α.β.

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A First Course In Abstract Algebra

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Authors: John Fraleigh

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The fields Q(2) and Q(3+2) are the same, of course. Let = 3 + 2. a.

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a We have 3 2 is a conjugate of 3 2 They are ...View the full answer

A First Course In Abstract Algebra

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