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Find two permutations in S_4 that are not disjoint but commute anyways.?

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Find two permutations in S_4 that are not disjoint but commute anyways.?

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  1. It has been a while since I have done abltract algebra but I think any element and it's inverse would work.

    (1234)(4321)=1

    (4321)(1234)=1

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