## Question

###### (2) Prove thatS := {2 â‚¬ â‚¬ : lel = 1}is a subgroup of CX_ Hint: You may use the following properties: If 2, W â‚¬ C, thenIzwl = Izllwl:If 2 = a + ib, 2 = 0, then2-1a _ ib);(2)

(2) Prove that S := {2 â‚¬ â‚¬ : lel = 1} is a subgroup of CX_ Hint: You may use the following properties: If 2, W â‚¬ C, then Izwl = Izllwl: If 2 = a + ib, 2 = 0, then 2-1 a _ ib); (2)

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