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Part e please: Compute each of the following Galois groups. Which of these field extensions are normal field extensions? If the extension is not normal, find a normal extension of Q in which the extension field is contained. (e) 1. Compute each of the following Galois groups. Which of these field extensions are normal field extensions? If the extension is not normal, find a normal extension of Q in which the extension field is contained. (a) G(Q(√30)/Q) (b) G(Q(5)/Q) (d) G(Q(√2, V2, i)/Q) (c) G(Q(√2, √3, √5)/Q) (e) G(Q(√6, i)/Q)

Part e please: Compute each of the following Galois groups. Which of these field extensions are normal field extensions? If the extension is not normal, find a normal extension of Q in which the extension field is contained. (e) 1. Compute each of the following Galois groups. Which of these field extensions are normal field extensions? If the extension is not normal, find a normal extension of Q in which the extension field is contained. (a) G(Q(√30)/Q) (b) G(Q(5)/Q) (d) G(Q(√2, V2, i)/Q) (c) G(Q(√2, √3, √5)/Q) (e) G(Q(√6, i)/Q)

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Part e please: Compute each of the following Galois groups. Which of these field extensions are normal field extensions? If the extension is not normal, find a normal extension of Q in which the extension field is contained. (e) 1. Compute each of the following Galois groups. Which of these field extensions are normal field extensions? If the extension is not normal, find a normal extension of Q in which the extension field is contained. (a) G(Q(√30)/Q) (b) G(Q(5)/Q) (d) G(Q(√2, V2, i)/Q) (c) G(Q(√2, √3, √5)/Q) (e) G(Q(√6, i)/Q)
Transcribed Image Text:Part e please: Compute each of the following Galois groups. Which of these field extensions are normal field extensions? If the extension is not normal, find a normal extension of Q in which the extension field is contained. (e) 1. Compute each of the following Galois groups. Which of these field extensions are normal field extensions? If the extension is not normal, find a normal extension of Q in which the extension field is contained. (a) G(Q(√30)/Q) (b) G(Q(5)/Q) (d) G(Q(√2, V2, i)/Q) (c) G(Q(√2, √3, √5)/Q) (e) G(Q(√6, i)/Q)
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