7. i) Show that Q(2'4,i)/Q is a Galois extension.

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 11E: Find all homomorphic images of the quaternion group.
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7.
i)
Show that Q(24,i)/Q is a Galois extension.
ii)
Find the structure of its Galois group, G.
Transcribed Image Text:7. i) Show that Q(24,i)/Q is a Galois extension. ii) Find the structure of its Galois group, G.
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