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    Making my own thread and carrying on from the other one:

    (Original post by Farhan.Hanif93)
    Not sure what you mean by "using my thing". The thing you mentioned in your other post is indeed a permutation. As for this being the whole centraliser, what about (1 3 5 2 4)? [think about why this one is in the centraliser of (1 2 3 4 5)]
    By my thing I meant that permutation I put. Again, I multiplied the two permutations together and yes they commute.

    So is it any order of any number in the group  S_5 that form the centraliser?

    EDIT: And saying that makes sense to me as to calculate the number of elements in the centraliser, I would do 5! and so this is basically all the different orders of numbers you have in that permutation, right?
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