Let F be a finite field of p n elements containing the prime subfield Z p Show that if F is a generator of the cyclic group (F , ) of nonzero elements of F, then deg(, Z p ) n ...

Because F we have Z p F But bec ...

Let F be a finite field of p n elements containing the prime subfield Z p .

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Let F be a finite field of pⁿ elements containing the prime subfield Z_p. Show that if α ∈ F is a generator of the cyclic group (F^*, ·) of nonzero elements of F, then deg(α, Z_p) = n.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 09, 2023 01:44 AM

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Let F be a finite field of p n elements containing the prime subfield Z p .

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Because F we have Z p F But bec...View the full answer

A First Course In Abstract Algebra

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