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  "body": "\n## Summary\n\nIn mathematics, the **cycles** of a [[permutation|05RWFKVTJ7]] $\\pi$ of a finite [[set|0BSJ7RQ9BW]] **S** correspond [[bijectively|0151VYVX27]] to the orbits of the subgroup generated by $\\pi$ acting on *S*. These orbits are [[subsets|0BJR9QR08E]] of **S** that can be written as $\\{c_{1}, ..., c_{n}\\}$, such that\n",
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