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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.
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Categorical interpretation of disjoint cycle notation for tracing permutations
For a natural number $n\in\mathbb{N}$, let $\underline{n}$ denote the finite set $$\underline{n}:=\{1,2,\ldots,n\}.$$
A permutation $\sigma\in Aut(\underline{n})$ can be uniquely written (up to order) …