Timeline for If $n=2m$, what is the order of the permutation $\sigma(k)=2k , \quad \sigma(m+k)=2k-1$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 18, 2023 at 9:01 | vote | accept | ABB | ||
| Feb 17, 2023 at 20:25 | answer | added | Christophe Leuridan | timeline score: 8 | |
| Feb 17, 2023 at 20:19 | comment | added | Fedor Petrov | @ABB is not $|\sigma|=2m$ for $n=2^m$? | |
| Feb 17, 2023 at 19:12 | comment | added | LSpice | Aside from a guess, presumably you have gathered data on specific values of small $m$. (If not, then that's where you should start!) What irregularity have you observed? | |
| Feb 17, 2023 at 18:21 | review | Close votes | |||
| Feb 23, 2023 at 5:19 | |||||
| Feb 17, 2023 at 18:21 | comment | added | ABB | If one may check by computer, a mysterious irregularity is observed for different cases $n$ | |
| Feb 17, 2023 at 18:19 | comment | added | ABB | There is only one guess: if $n=2^m$ then $|\sigma|=2^m$ (have no clear proof yet!) | |
| Feb 17, 2023 at 18:06 | comment | added | LSpice | Could you share your data for small $m$? | |
| Feb 17, 2023 at 17:57 | history | asked | ABB | CC BY-SA 4.0 |