It looks like the permutation in given example enters to the
infinitive loop.
4 1 5 2 3
2 4 3 1 5
4 1 3 2 5
2 4 3 1 5
....

In what I'm wrong???

Product permutations means application of one permutation after
another look:
1 2 3 4 5
4 1 5 2 3
To increase on
1 2 3 4 5
4 1 5 2 3
Let's receive
2 4 3 1 5
That as means that 1 passes in 4 which then passes in 2,
2 passes in 1 which then passes in 1 which passes in 4 and so on.
Let's multiply once again:
1 2 3 4 5
4 1 5 2 3
On
1 2 3 4 5
2 4 3 1 5
Let's receive
1 2 3 4 5
Still it is necessary to notice that permutations have no
commutativity
If you want to learn that that still about permutation that look
Knuth
' The art of computer programming ' volume1.

Thank you,

I just had a confusion with understanding what is a power of a
permutation. After I understood it, I solve it quite easily.

I think that it is wrong.

Edited by author 23.10.2009 18:13

Edited by author 23.10.2009 18:13