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Oct 10, 2020 at 11:34 comment added Alexander I suspect that may be cross ratios could help to investigate that involution's nature.
Oct 10, 2020 at 11:32 comment added Alexander This question was born as a result of mathoverflow.net/questions/338802/… research. 12 13 14 18 19 20 - coefficients which move Finited Field's cosets and give us corresponding Finite Field's involution.
Oct 10, 2020 at 11:27 comment added Gerry Myerson This is a site for questions of math research, @AVT. The $-2$ probably came from users who feel your question had no research angle. There's a fair chance that at some point other users will vote to close it, and then to delete it. Or, maybe not; maybe users will feel the answer redeems the question. But in any event, vandalizing the question is a significant breach of this website's norms. Please don't do it.
Oct 10, 2020 at 7:59 comment added Carlo Beenakker please do not vandalize the question, it has received an answer which would make no sense if the question is deleted.
Oct 10, 2020 at 7:58 history rollback Carlo Beenakker
Rollback to Revision 3
Oct 10, 2020 at 7:51 review Low quality posts
Oct 10, 2020 at 8:04
Oct 10, 2020 at 7:47 history edited Alexander CC BY-SA 4.0
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Oct 5, 2020 at 15:05 review Close votes
Oct 11, 2020 at 3:03
Oct 5, 2020 at 14:51 comment added YCor Since it hasn't been said so far, the set of numbers one obtains from $x$ is called the orbit of $x$ under the group generated by $\{f,g\}$.
Oct 5, 2020 at 14:49 history edited YCor
edited tags
Oct 5, 2020 at 14:07 comment added François Brunault I turned my comment into an answer.
Oct 5, 2020 at 14:06 answer added François Brunault timeline score: 4
Oct 5, 2020 at 14:00 comment added Zsbán Ambrus @FrançoisBrunault Correct, and I think you should post that as an answer.
Oct 5, 2020 at 10:34 comment added Alexander Cross-ratio can be used in finite field as well
Oct 4, 2020 at 10:32 comment added Gerry Myerson Can one not prove by just plugging in and doing the algebra that $f(g(f(x)))=g(f(g(x)))$?
Oct 3, 2020 at 19:28 comment added François Brunault These two involutions generate a group of order 6 isomorphic to the symmetric group $S_3$ (this is true over any field $k$, viewing these two involutions acting on the projective line $\mathbb{P}^1(k)$). This corresponds to the different values of the cross-ratio when you permute the arguments: en.wikipedia.org/wiki/Cross-ratio#Six_cross-ratios
Oct 3, 2020 at 19:11 history edited LSpice CC BY-SA 4.0
Proofreading
Oct 3, 2020 at 18:58 history asked Alexander CC BY-SA 4.0