Hey, i'm having a hard time seeing how to do this problem. Any hints?

a cycle . Let a permutation. Show that

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- Mar 9th 2013, 02:34 PMgordo151091Permutations
Hey, i'm having a hard time seeing how to do this problem. Any hints?

a cycle . Let a permutation. Show that

. - Mar 9th 2013, 03:19 PMILikeSerenaRe: Permutations
- Mar 9th 2013, 03:30 PMNehushtanRe: Permutations
Consider the effect of on for . We have

So maps to for , and it maps to since maps to .

Now suppose and . Then for some . Thus fixes and

so fixes .

Hence . - Mar 9th 2013, 03:48 PMgordo151091Re: Permutations
Hi! Thanks to you two for your help