How do I make a set of permutation acting on another set?
A4 = AlternatingGroup(4)
r1 = A4("(1,2) (3,4)")
r2 = A4("(1,3) (2,4)")
r3 = A4("(1,4) (2,3)")
N = A4.subgroup([r1, r2, r3]) # generate normal subgroup
LC = A4.cosets(N, side="left")
print LC
print LC[0]*LC[1]
Here I want coset LC[0] act on LC[1]. How do I make it?
