Mathematics · Abstract Algebra
Given below are two statements: Statement I: Every cyclic group is an abelian group, but every abelian group is not necessarily a cyclic group. Statement II: An isomorphism is called an automorphism even if its domain and codomain are distinct sets. In light of the above statements, choose the correct answer:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Statement I is incorrect and Statement II is correct
- 2Statement I is correct and Statement II is incorrect✓
- 3Both Statement I and Statement II are incorrect
- 4Both Statement I and Statement II are correct
Correct answer
Statement I is correct and Statement II is incorrect
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