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A Hopfian group is a type of group that satisfies a specific property related to its endomorphisms. Specifically, a group \( G \) is called a Hopfian group if every surjective (onto) endomorphism \( f: G \to G \) is an isomorphism.

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  1. Infinite group theory
  2. Group theory
  3. Fields of abstract algebra
  4. Fields of mathematics
  5. Mathematics
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