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Hint: Show that the isomorphism preserves the order of the element
My solution:
C4 = {e,r,r^2,r^3} where e-identity element and r is rotation by 90°
Z4 = {0,1,2,3}
LEMMA:
! Isomorphism preserves the order of the element !
(PROOF OF IT)Now we calcuate the order of the elements of both...