# Math Help - Orders of permutations

1. ## Orders of permutations

What is the order of a permutation telling you about it?
And how to find the following orders

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

Thanks!

2. Originally Posted by universalsandbox
What is the order of a permutation telling you about it?
And how to find the following orders

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

Thanks!
Since these are disjoint cycles the order is the lcm of their lengths.

3. so how would you find the length of a cycle?

4. Originally Posted by universalsandbox
so how would you find the length of a cycle?
The length of $(1 5 4)$ is $3$.
The length of $(237)$ is $3$.
The length of $(68)$ is $2$.

Find $\text{lcm}(3,3,2) = 6$.
And that is the order.