Mathematics · Group Theory

Let G 1 and G 2 be two groups and φ: G 1 → G 2 be a surjective group homomorphism. Which of the following statements is NOT necessarily true?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

If N is a normal subgroup of G 1 , then φ(N) is a normal subgroup of G 2 .

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Let G 1 and G 2 be two groups and &phi;: G 1 &rarr; G 2 be a surjective group homomorphism. Which of the following statements is NOT necessarily true?