Sign on Permutation
The sign of p: +1 when the inversion count is even, -1 when odd.
Called as CombinatorialStat(x, "Sign"). The head's page has its examples.
Live
FindStat St000037
The sign of a permutation.
| 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] | 1 |
[3,1,2] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000037 has the rest.