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Complemented group

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In the context of group theory, a complemented group is a specific type of mathematical structure, particularly within the study of finite groups. A group \( G \) is said to be **complemented** if, for every subgroup \( H \) of \( G \), there exists a subgroup \( K \) of \( G \) such that \( K \) is a complement of \( H \).

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