pts) Let F be a finite field containing Z, of degree [F : Z„] = n. SHOW that Gal(F/Z,) = Z„.
pts) Let F be a finite field containing Z, of degree [F : Z„] = n. SHOW that Gal(F/Z,) = Z„.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let F be a finite field containing Zp of degree [F : Zp] = n. SHOW that Gal(F/Zp)∼= Zn.
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(20 pts) Let F be a finite field containing Z, of degree [F : Z,)
= n. SHOW that Gal(F/Z,) = Z,.
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