The Burnside ring is a construction in algebra that arises in the study of group actions. Specifically, it is related to the representation theory of finite groups and has applications in combinatorics and algebraic topology. Given a finite group \( G \) acting on a set \( X \), the Burnside ring, denoted by \( \text{Br}(X, G) \), is formed by considering the isomorphism classes of finite \( G \)-sets.
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