- #1
Metahominid
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Homework Statement
The question is to show that the for symmetric groups, Sn with n>=3, the only permutation that is commutative is the identity permutation.
Homework Equations
I didn't know if it was necessary but this equates to saying the center is the trivial group.
The Attempt at a Solution
I was attempting to show that there will always exist a permutation that isn't commutative for a particular one, which I was figuring would be showing there can be permutations that move an element to different places so their compositions would be different.