Let G be the cyclic (additive) group Z/nZ
of order n = pq,
and H the subgroup generated by the residue class q
Z/nZ.
Then H has order p, and |G/H| = q.
The cosets are of the form r+H with r = 0, ..., q-1.
Let G be the cyclic (additive) group Z/nZ
of order n = pq,
and H the subgroup generated by the residue class q
Z/nZ.
Then H has order p, and |G/H| = q.
The cosets are of the form r+H with r = 0, ..., q-1.