A group isomorphism is a bijective group homomorphism. Its inverse is automatically a group homomorphism.
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Group isomorphism is a concept in the field of abstract algebra, particularly in the study of group theory. Two groups \( G \) and \( H \) are said to be isomorphic if there exists a bijective function (one-to-one and onto mapping) \( f: G \to H \) that preserves the group operation.
