let the following two permutations and do the items below
x =
1 2 3 4 5
2 4 3 5 1
y =
1 2 3 4 5
1 3 5 4 2
a) xy = yx =
b) (xy)2 = x2y2 =
c) x-1 = y-1 =
d) (xy)-1 = x-1y-1 =
e) |x| = |y| =
f) let z =
1 2 3 4 5
3 2 4 5 1
show that |z| = 4 and prove thatw = {z, z2, z3, z4}
is a subgroup of s5let the following two permutations and do the items below