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2. Suppose f, g € F[x]. Prove that GalƑ(fg) ≈ H, where H < GalƑ (f) × GalƑ(g). You may assume F is a number field.

2. Suppose f, g € F[x]. Prove that GalƑ(fg) ≈ H, where H < GalƑ (f) × GalƑ(g). You may assume F is a number field.

Advanced Engineering Mathematics
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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2. Suppose f, g € F[x]. Prove that Galf(fg) ≈ H, where H < GalF(f) x GalF(g). You may assume F is a number field.
Transcribed Image Text:2. Suppose f, g € F[x]. Prove that Galf(fg) ≈ H, where H < GalF(f) x GalF(g). You may assume F is a number field.
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