abstract algebra permutations 1

Question1:

Write out the 60 even permutations of 5 things {0,1,2,3,4} or {A,B,C,D,E} or whatever…

and show that they are all commutators of even permutations…

This is NOT true for permutations of 4 objects.

Figure out what the commutators are…

what the commutators of the commutators are… etc.