c. Suppose that G,H < Sym(Q). Show that the corresponding spaces (2,G) and (Q,H) are equivalent if and only if H conjugate to G in Sym(2).

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.2: Complex Numbers And Quaternions
Problem 48E
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c. Suppose that G,H& Sym(Q). Show that the corresponding spaces (2,G) and (2, H) are equivalent
if and only if H conjugate to G in Sym (2).
Transcribed Image Text:c. Suppose that G,H& Sym(Q). Show that the corresponding spaces (2,G) and (2, H) are equivalent if and only if H conjugate to G in Sym (2).
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