CycleInverseClassSize on Permutation
2 to the power of the cycles of length at least three: the permutations got by inverting any of p's cycles.
Called as CombinatorialStat(x, "CycleInverseClassSize"). The head's page has its examples.
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FindStat St001359
The number of permutations in the equivalence class of a permutation obtained by taking inverses of cycles.
| Object | Value |
|---|---|
[1] | 1 |
[1,2] | 1 |
[2,1] | 1 |
[1,2,3] | 1 |
[1,3,2] | 1 |
[2,1,3] | 1 |
[2,3,1] | 2 |
[3,1,2] | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001359 has the rest.