An element of K which remains invariantunder each member of the Galois groupG(K,F) of K over F is necessarily a memberof F.

Given: Galois group .We have to prove that An element of which remains invariant under each member…

Answered: An element of K which remains invariant…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.1: Definition Of A Group

Problem 11TFE: True or False Label each of the following statements as either true or false. 11. The invertible...

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An element of K which remains invariant under each member of the Galois group G(K,F) of K over F is necessarily a member of F.