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Dec 20, 2016 at 19:55 comment added Jianrong Li @ChristianStump, thank you. Are there some references about standard noncrossing cycles?
Dec 20, 2016 at 19:54 history edited Jianrong Li CC BY-SA 3.0
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Dec 20, 2016 at 18:49 history edited Jianrong Li CC BY-SA 3.0
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Dec 20, 2016 at 18:49 comment added Jianrong Li @JosephO'Rourke, yes, I will correct it.
Dec 20, 2016 at 17:53 comment added Lior Silberman The term for the set of $i$ moved by $P$ is the support of $P$.
Dec 20, 2016 at 17:00 comment added Jianrong Li @ChristianStump, yes, it is all $i$ with $P(i) \neq i$. I have edited the post.
Dec 20, 2016 at 16:59 history edited Jianrong Li CC BY-SA 3.0
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Dec 20, 2016 at 16:45 comment added Christian Stump Let me also mention that your definition of noncrossing cycles doesn't seem to be standard.
Dec 20, 2016 at 16:43 comment added Christian Stump I think it would be good to add your definition of codomain. Is it all i with $P(i) \neq i$ ?
Dec 20, 2016 at 16:40 comment added Jianrong Li @WhatsUp, I mean the set of image of $P$. For example, when $P=(125)$. Then the codomain of $(125)$ is $\{1,2,5\}$.
Dec 20, 2016 at 15:30 history asked Jianrong Li CC BY-SA 3.0