Let K be a finite extension of Q. Show that K contains only finitely many roots of unity.
Let K be a finite extension of Q. Show that K contains only finitely many roots of unity.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers
Problem 27E
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Let K be a finite extension of Q. Show that K contains only finitely many roots of unity.
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