Mathematics · Group Theory
Let G1, G2, and G3 be subsets of the complex numbers &complex;: G1 = {x + iy ∈ &complex; : x2 + y2 = 0} G2 = {x + iy ∈ &complex; : x = 0 or y = 0} G3 = {x + iy ∈ &complex; : x2 + y2 = 1} Which of the following subsets forms a group under complex multiplication?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Only G2 and G3
- 2All G1, G2, and G3
- 3Only G1 and G2
- 4Only G3✓
Correct answer
Only G3
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