If char K = p 0, let K p = {u p - u| u
Question:
If char K = p ≠ 0, let Kp= {up - u| u ϵ K}.
(a) A cyclic extension field F of K of degree p exists if and only if K ≠ KP.
(b) If there exists a cyclic extension of degree p of K, then there exists a cyclic extension of degree pn-1 for every n ≥ 1.
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a Statement A cyclic extension field F of K of degree p exists if and only if K KP Explanation This ...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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