Let K be a finite normal extension of a field F Prove that for every K, the norm of over F, given by and the trace of over F, given by are elements of F Nx F(a) (), G(K F)...

To show that N KF F we need only show that it is left fixe ...

Let K be a finite normal extension of a field F. Prove that for every

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Let K be a finite normal extension of a field F. Prove that for every α ∈ K, the norm of α over F, given by

and the trace of α over F, given by

are elements of F.

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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 02:50 AM

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Let K be a finite normal extension of a field F. Prove that for every

Question:

Nx/F(a) = Π σ(α), σεG(K/F)

Step by Step Answer:

To show that N KF F we need only show that it is left fixe...View the full answer

A First Course In Abstract Algebra

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