Show that Sn (the finite symmetric group) is generated by the subset {(1, 2),(2, 3),...,(n − 1, n)} by using the formula σ·(a1,...,ak)·σ−1 = (σ(a1),...,σ(ak))
I know that we can get any k-cycle from this subset but I'm not sure how to choose σ to make use of the formula. Any advice would be appreciated!