---
tag: 0J3K4Y1KPD
kind: concept
name: Cycle type
msc: [20B30]
sources:
  - url: https://en.wikipedia.org/wiki/Permutation
    locator: Cycle type
---

## Summary

The cycle type of a permutation of a finite set is the list of the lengths of the cycles in its disjoint cycle decomposition.
For a permutation in $S_n$ it is a partition of $n$.