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In category theory, the concept of a permutation category can refer to a specific kind of category that captures the structure and properties of permutations. A permutation is a rearrangement of a finite set of elements, and permutation categories can be used to study transformations and symmetries in various mathematical contexts. One common way to formalize the permutation category is through the **category of finite sets and bijections**.

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  1. Category theory
  2. Fields of abstract algebra
  3. Fields of mathematics
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