Mathematics · Group Theory
Let G = (&mathbb;Z, +) and H = ({-1, 1}, ×) be groups. Then, the mapping φ : G → H defined by φ(n) = (-1)n is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1not a homomorphism
- 2an isomorphism
- 3a one-to-one homomorphism but not onto
- 4an onto homomorphism but not one-to-one✓
Correct answer
an onto homomorphism but not one-to-one
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