Given two groups $H$ and $G$ why is it the case that $H \times G$ is closed due to the fact that $G$ and $H$ are closed.
I realise I have answered my question but how does the direct product inherit this? How does it work?
Given two groups $H$ and $G$ why is it the case that $H \times G$ is closed due to the fact that $G$ and $H$ are closed.
I realise I have answered my question but how does the direct product inherit this? How does it work?