Suppose and have the same pattern. Prove that .

Now an orbit of and element in is all the "possible stuff" that a permutation can map to. So does imply that they are in the same orbit?

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- Nov 9th 2009, 01:52 AMSamprasorbit
Suppose and have the same pattern. Prove that .

Now an orbit of and element in is all the "possible stuff" that a permutation can map to. So does imply that they are in the same orbit? - Nov 9th 2009, 04:28 AMDrexel28
I'm sorry. Maybe some other member will swoop in and help you. But if not, I just have two questions. What does 'pattern' mean in this context? and what is represent. Also, what is ? Just some group under consideration? If so, then does not mean that or vice versa (which is really the same thing).

- Nov 9th 2009, 05:08 AMtonio