Does parity of a permutation determine its order?

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wakko101
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I'm a bit confused about something. Does the parity of a permutation (i.e. if it is even or odd) tell you if the order of the permutation is even or odd, or are they unrelated?

Any insight would be appreciated.

Cheers,
W. =)
 

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What are you calling the order of a permutation? The order of the cycle length? If so, then yes, they are related. A two cycle is odd. A three cycle is even. Etc.