Dear All.

Can I ask something?

There are two permutations

x = (1 2 3 4 5 6 7 8)

(3 5 2 1 4 6 8 7)

y = (1 2 3 4 5 6 7 8)

(6 1 5 7 3 2 8 4)

Can I ask how I can express these as a product of transposition?

I got a disjoint cycle for x (1 3 2 5 4) (7 8), then transposition is just (1 3) (3 2) (2 5) (5 4) (7 8)?

And what is signature of both of them? I got odd for both of them.

Is this correct?