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

## 05.03.2020

### 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 $$(1\ 3\ 5)(2\ 4)$$