1. ## Order of premutation

Compute the orders of products of non-disjoint cycles:

(1 2 3)(3 2 4)

(1 2 3)(3 4 5)

I calcuated for a couple of times but still couldn't get the right answers.

2. Originally Posted by r7iris
Compute the orders of products of non-disjoint cycles:

(1 2 3)(3 2 4)

(1 2 3)(3 4 5)

I calcuated for a couple of times but still couldn't get the right answers.
What is the permutation group you are working in? Is it $S_5$?

3. They are two separate questions.

4. (Grumbles) I never was good with cyclic notation.

-Dan

5. Just write it as a premutation,

$\tau = \left( \begin{array}{cccc}1&2&3&4 \\ 2&4&3&1 \end{array} \right)$

Now find $\tau , \tau^2 , ...$
Until you find,
$\tau^n = \left( \begin{array}{cccc}1&2&3&4 \\ 1&2&3&4 \end{array} \right)$