e/Cycles and fixed points

Information
has gloss	eng: <div style="float:right;padding-left:15px;padding-bottom:10px"> In combinatorial mathematics, the cycles of a permutation π of a finite set S correspond bijectively to the orbits of the subgroup generated by π acting on S. These orbits are subsets of S that can be written as c1, ..., cl }, such that
lexicalization	eng: Cycles and fixed points
instance of	(noun) act of changing the lineal order of objects in a group permutation

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media:img	050712 perm 0.png