\begin{definition}[Definition:Coset Space/Right Coset Space]
Let $G$ be a group.
Let $H$ be a subgroup of $G$.
The '''right coset space (of $G$ modulo $H$)''' is the quotient set of $G$ by right congruence modulo $H$, denoted $G / H^r$.
It is the set of all the right cosets of $H$ in $G$.
\end{definition}