Let FCR denote the field of constructible numbers. Prove that there is no injective group homomorphism from Q/Z to group of units F^x

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 18E: [Type here] 18. Prove that only idempotent elements in an integral domain are and . [Type here]
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Let FCR denote the field of constructible
numbers. Prove that there is no injective
group homomorphism from Q/Z to group of
units F^x
Transcribed Image Text:Let FCR denote the field of constructible numbers. Prove that there is no injective group homomorphism from Q/Z to group of units F^x
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