Abstract Algebra (3th ed.)/Chapter1/Exercises 1.3

1)

Let $\sigma$ be

1	2	3	4	5
3	4	5	2	1

And let $\tau$ be

1	2	3	4	5
5	3	2	4	1

Now to find cycle decompositions

• For $\sigma$ we get $$ (1\ 3\ 5)(2\ 4) $$