Thread: 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!

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.

so how would you find the length of a cycle?

Originally Posted by universalsandbox

so how would you find the length of a cycle?

The length of is .
The length of is .
The length of is .

Find .
And that is the order.