Timeline for Integer-valued polynomials from Pólya counting
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 3, 2022 at 13:26 | vote | accept | Sam Hopkins | ||
| Jan 31, 2022 at 22:28 | history | became hot network question | |||
| Jan 31, 2022 at 17:56 | answer | added | Sam Hopkins | timeline score: 8 | |
| Jan 31, 2022 at 17:18 | comment | added | Sam Hopkins | @Nate: I'm trying to understand your comment. Let $G=\langle (1,2,3,4) \rangle$ act on $X = \{1,2,3,4\}$ in the usual way. Then the polynomial is $\frac{1}{4}(k^4+k^2+2k)=6 \binom{k}{4} + 9\binom{k}{3} + 4 \binom{k}{2} + \binom{k}{1}$. But there are not $6$ equivalence relations with $4$ classes on $X$, right? Maybe you intend "labeled equivalence relations"? | |
| Jan 31, 2022 at 15:59 | comment | added | Nate | I think $a_j$ is the number of equivalence relations with exactly $j$ classes on $X$, up to the action of $G$. | |
| Jan 31, 2022 at 14:25 | history | asked | Sam Hopkins | CC BY-SA 4.0 |