Timeline for Related involutions
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 22, 2020 at 14:54 | comment | added | Alexander | The interesting questions here is about $n$ and $q=2^k-1$. Found couple of involutions when $n | (q-1)/k$ | |
| Dec 22, 2020 at 14:43 | comment | added | Alexander | I suggest to close question. | |
| Dec 22, 2020 at 14:43 | comment | added | Alexander | Correct, you are right. | |
| Dec 22, 2020 at 14:40 | comment | added | Geoff Robinson | If I am reading your question correctly, isn't it the case that any pair of involutions have this property. There are only finitely many permutations of $\mathbb{F}_{q}$. Hence for some $n$, we have that $(fg)^{n}$ is the identity permutation. Then $(gf)^{n}$ is also the identity permutation, since $gf = g(fg)g^{-1}.$ | |
| Dec 22, 2020 at 14:23 | comment | added | Alexander | The most important question is: Let's $f=1/x$, how to find all corresponding $g$ | |
| Dec 22, 2020 at 14:17 | history | edited | Joe Silverman | CC BY-SA 4.0 |
fixed formatting
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| Dec 22, 2020 at 14:05 | history | asked | Alexander | CC BY-SA 4.0 |