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In group theory, a double coset is a concept associated with a group acting on itself in a specific way. More formally, if \( G \) is a group and \( H \) and \( K \) are two subgroups of \( G \), the double coset of \( H \) and \( K \) with respect to an element \( g \in G \) is denoted by \( HgK \).

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