Homework Help: Order of a permutation

1. Apr 10, 2010

wakko101

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. =)

2. Apr 10, 2010

Dick

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.