Category:Subset Product with Normal Subgroup is Subgroup

This category contains pages concerning Subset Product with Normal Subgroup is Subgroup:

Let $G$ be a group whose identity is $e$.

Let:

$(1): \quad H$ be a subgroup of $G$

$(2): \quad N$ be a normal subgroup of $G$.

Let $H N$ denote subset product.

Then $H N$ and $N H$ are both subgroups of $G$.