Timeline for Given the index of two permutations, Is there a direct way to compute the index of their composition? [closed]
Current License: CC BY-SA 4.0
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Apr 8, 2021 at 17:43 | vote | accept | Sean Miller | ||
Apr 7, 2021 at 21:23 | history | closed |
Neil Strickland abx skupers Yemon Choi DamienC |
Needs details or clarity | |
Apr 7, 2021 at 12:13 | vote | accept | Sean Miller | ||
Apr 7, 2021 at 12:35 | |||||
Apr 7, 2021 at 10:17 | review | Close votes | |||
Apr 7, 2021 at 21:23 | |||||
Apr 7, 2021 at 9:48 | answer | added | Zach Teitler | timeline score: 2 | |
Apr 7, 2021 at 5:56 | history | edited | YCor |
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Apr 7, 2021 at 3:17 | comment | added | Zach Teitler | In this numbering does $10$ correspond to the permutation $21$ while $010$ corresponds to $132$ and $0010$ corresponds to $1243$? But $10_!=010_!=0010_!=1$ so I’m not sure how to make integers correspond to permutations, unless you fix the size of the permutation in advance. | |
Apr 7, 2021 at 1:49 | history | edited | Sean Miller | CC BY-SA 4.0 |
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Apr 7, 2021 at 1:29 | comment | added | Sean Miller | The "index" is referring to the value of the permutation when written as a factoradic. In this case, $7$ and $4$ refer to the factoradics $1010_{!}$ and $200_{!}$, respectively. So yes, @GerryMyerson, you are correct in assuming this. | |
Apr 7, 2021 at 0:46 | comment | added | Gerry Myerson | @zeb, maybe "index" is being used as in math.stackexchange.com/questions/1877832/… and stackoverflow.com/questions/5921860/… | |
Apr 6, 2021 at 22:22 | comment | added | zeb | How are you defining the "index" of a permutation? For instance, what permutation does the index $7$ correspond to in your system? | |
Apr 6, 2021 at 21:58 | review | First posts | |||
Apr 7, 2021 at 5:51 | |||||
Apr 6, 2021 at 21:53 | history | asked | Sean Miller | CC BY-SA 4.0 |