Can anybody help with the following:
Consider the alternating group A4.
a) Write the elements of A4 in cycle notation.
b) For each element write the inverse in cycle notation.
c) Construct the Cayley table for A4.
I know that A4 is the set of all even permutations of S4 but I'm not sure what an even permutation is. If anybody could start me off with this problem it would be a great help.