Answered: An element of K which remains invariant…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.6: Quotient Groups

Problem 22E

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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.