- #1

math8

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What is this product equal to and what's the order of the permutation?

(1 2 3 4 5 6 7) (3 6 7 4 2 5 1)

I thought it was (3 7 5 2 6 1 4) but I am reading somewhere that it should be (137)(265)(4) and hence has order 3.

Why is this "(3 7 5 2 6 1 4)" not correct? I mean I thought I had to start with the last cycle and do 3-->6, in the first cycle, 6-->7

and then 7-->4, in the first cycle, 4-->5,...

So I would get something like (3 7 5 ...

I am very confused here, help