Mathematics · Group Theory
A mapping f from a group (G, o) to a group (G', *) is a group homomorphism from G to G' if it satisfies which of the following conditions for all a, b ∈ G?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1f(a o b) = f(a) * f(b)✓
- 2f-1(a * b) = f-1(a) o f-1(b)
- 3f(a o b) = f(a) * f-1(b)
- 4f(a * b) = f(a) o f(b)
Correct answer
f(a o b) = f(a) * f(b)
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