Let F be a field which contains a primitive nth root of unity. If K is cyclic extension of degree n over F then there exist a in F , alpha in F such that the minimal polynomial of alpha over F is x^n-a, and K=F(alpha).

Let F be a field which contains a primitive nth root of unity. If K is cyclic extension of degree n over F then there exist a in F , alpha in F such that the minimal polynomial of alpha over F is x^n-a, and K=F(alpha).

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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