Let K be a finite normal extension of a field F. If a, ß are any two elements of K conjugateover F, then their exists an F – automorphism þ of K such that o(a) = ß

Statement : Let K be a finite normal extension of a field F. If a and b are any two elements of K…

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.2: Integral Domains And Fields

Problem 23E: [Type here] 23. Let be a Boolean ring with unity. Prove that every element ofexceptandis a zero...

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Let K be a finite normal extension of a field F. If a, ß are any two elements of K conjugate over F, then their exists an F - automorphism of K such that o(a) = ß