Mathematics · Group Theory
A mapping f: (G, ο) → (G', ο') is a Group Homomorphism if
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(a ο b) = f(a) ο' f(b) for all a, b ∈ G✓
- 2f(a + b) = f(a) ο' f(b) for all a, b ∈ G
- 3f(a * b) = f(a) ο' f(b) for all a, b ∈ G
- 4f(a - b) = f(a) ο' f(b) for all a, b ∈ G
Correct answer
f(a ο b) = f(a) ο' f(b) for all a, b ∈ G
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