Consider the following subsets of the group of $2\times 2$ non-singular matrices over $\mathbb{R}$:
$G=\left\{ \begin{bmatrix}a&b\\ 0&d\end{bmatrix}: a,b,d\in \mathbb{R}, ad=1\right\}$
$H=\left\{ \begin{bmatrix}1&b\\ 0&1\end{bmatrix}: b\in \mathbb{R}\right\}$
Which of the followin...2
I think that quotient groups are relatively important topic and we certainly have some questions about them. We do have tags for normal-subgroups and for quotient-spaces. As far as the importance of the topic and frequency of questions asked here on MSE are concerned, I'd say that these concepts ...
