# Definition:Coset Space/Notation

Thus the notation $G / H$ is used for both the right and left coset space.
If, in addition, $H$ is a normal subgroup of $G$, then $G / H^l = G / H^r$ and the notation $G / H$ is then unambiguous anyway.
Some sources use $G \divides H$ for the left coset space, reserving $G / H$ for the right coset space.