Hey guys.

I'm sitting with an exercise I can't quite finish.

Let be defined as follows: (of course it's not actually a fraction, I just dont know how to write a permutation.)

I have already answered the first three exercises:

(a) - Write as a product of disjoint cycles : .

(b) - Determine and the order of : and so the order of is 4.

(c) - How many simple transpositions are needed to write as a product of simple transpositions : From (b) I had that and that is the number of simple transitions needed.

The exercise I can't quite figure out is this:

(d) - Find , the alternating group, so .

Could someone give me a tip on how to solve this? Thanks on beforehand.

/Morten