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I am really stuck with how to prove that the only element in Sn (with n>=3) commuting with all the other elements of this group is the identity permutation id.
I have no idea what im supposed to do with it, i know why S3 has only one element that commutes but i dont know how to prove it for all.
I have no idea what im supposed to do with it, i know why S3 has only one element that commutes but i dont know how to prove it for all.