Let G ={1,-1, i, -i} be the group of 4 complex numbers under multiplication. (b) Is {1,–1} a subgroup of G and why?

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Q: Let G ={1,−1, i,−i} be the group of 4 complex numbers under multiplication.  (a) Is {1, i} a…

A: In the given question we have to determine if given set is subgroup of G or not.

Q: Here is the question I'm needing help with.  Prove C*, the group of nonzero complex numbers under…

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Q: 1.) Let G ={1,−1,i,−i} be the group of 4 complex numbers under multiplication.  (b) Is {1,−1} a…

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Q: 1- Let (C\{0},.) be a group of non-zero complex number and let H = {a + ib, a² + b² = 1} then (H,.)…

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Q: 1- Let (C,) be a group of non-zero complex number and let H = {x + iy}| x² + y² = 2}. Then (H,) is a…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: 1.) Let G={1,−1,i,−i} be the group of 4 complex numbers under multiplication.  (a) Is {1,i} a…

A: G={1,-,1,i,-i} is group under multiplication. Let H={1,i} then