Example

The 5-cycle (1 2 3 4 5) can be written as

(1 2 3)(3 4 5).

In general, the 2n + 1 cycle (1 2 ... 2n 2n + 1) equals the product

(1 2 3)(3 4 5) ··· (2n -1 2n 2n + 1).