+90 A left coset may arise with various names. For example in S3 the subgroup
{e, (12)} gives rise to
(13){đť‘’, (12)} = {(13), (123)} = (123){đť‘’, (12)}
a case with 2 distinct names.
Let r be the remainder when α is divided by 3 and m = r + 1. (α=4)
Find all the names of the left coset of S3 ≤ S4 that contains the cycle (m4).
