For each field in the field diagram in Fig. 54.6, find a primitive element generating the field

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For each field in the field diagram in Fig. 54.6, find a primitive element generating the field over Q.

Figure 54.6 field diagram

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 16, 2023 02:51 AM

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For each field in the field diagram in Fig. 54.6, find a primitive element generating the field

Question:

Q(i√2) = K₁0₁.03) Q(¹ + ¹) = K Q(i) = K (0₁.0₂) Q = KG(K/Q) Q(√2) = K₁0₁,07)

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The choices for primitive elements given in the text answers the corresponding polynomials and the i...View the full answer

A First Course In Abstract Algebra

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