Let G be a finite group acting on the set S. Suppose so that for any there is a unique so that . For each , let .

Prove:

I think about trying to use the order since if but other than that I don't know what I need to do.

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- Dec 2nd 2011, 01:20 PMdwsmithGroup Action
Let G be a finite group acting on the set S. Suppose so that for any there is a unique so that . For each , let .

Prove:

I think about trying to use the order since if but other than that I don't know what I need to do. - Dec 2nd 2011, 06:37 PMDrexel28Re: Group Action
- Dec 3rd 2011, 08:20 AMdwsmithRe: Group Action
- Dec 3rd 2011, 02:19 PMDrexel28Re: Group Action
- Dec 3rd 2011, 02:20 PMDevenoRe: Group Action
but IF , we know therefore that the ONLY element of H in Stab(s) is e.