Computations In Exercises 1 through 6, determine whether the given subset of the complex numbers is...

  

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Computations In Exercises 1 through 6, determine whether the given subset of the complex numbers is a subgroup of the group C of complex numbers under addition. 1. R 2. Q+ 3. 7Z vollol lo doinW as 4. The set iR of pure imaginary numbers including 0 5. The set Q of rational multiples of n 6. The set {7" |ne Z} nadiltkim rabn 7. Which of the sets in Exercises 1 through 6 are subgroups of the group C* of nonzero complex numbers under multiplication? Computations In Exercises 1 through 6, determine whether the given subset of the complex numbers is a subgroup of the group C of complex numbers under addition. 1. R 2. Q+ 3. 7Z vollol lo doinW as 4. The set iR of pure imaginary numbers including 0 5. The set Q of rational multiples of n 6. The set {7" |ne Z} nadiltkim rabn 7. Which of the sets in Exercises 1 through 6 are subgroups of the group C* of nonzero complex numbers under multiplication?

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1 IR is group under addition Let a6 IR Then ab E IR So IR is subgroub of E 2 Q Does not ... View the full answer