Prove that $GL_2(R)$ is open in$ M_2(R)$
46917
How to prove that $GL(n,\mathbb R)$ is not connected subset and open subset of$M_n (\mathbb{R})$
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
102871
$\langle r\rangle$ maximal $\iff r$ irreducible
30637
Exponent of $GL(n,q)$.
92033
Prove that $g$ is a submanifold: $g (t,u,v) = (t^2,u^2,v^2,\sqrt{2}uv, \sqrt{2}tv,\sqrt{2}tu)$
98474
Show the existence of a certain subgroup of F2
98816
How to prove that $\{f+g<a\}=\bigcup_{r\in{\Bbb Q}}(\{f<r\}\cap\{g<a-r\})$?
68014
Prove that $\mathfrak{su}(2)$ is not isomorphic to $\mathfrak{sl}(2,\mathbb R)$
18334
Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
113915
A star shaped open set in $\mathbb{R}^n$ is diffeomorphic to $\mathbb{R}^n$
152825
what are all the open subgroups of $(\mathbb{R},+)$
119758
On the order of elements of $\mathrm{GL}(2,q)$.
6115
Show that $GL_n(\mathbb{F})$ is a finite group iff $\mathbb{F}$ has a finite number of elements
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$
46106
Prove that $D_r \circ D_s = \{ (x,y) \in \mathbb{R}^2 \ | \ |x-y|<r+s \}$, where $D_a = \{ (x,y) \in \mathbb{R}^2\ | \ |x-y| < a \}$
34177
Prove that $\mathbb{R}^2\setminus\mathbb{Q}^2$ is connected without path connectedness
110390
Order of group $GL_{2}\left( \mathbb{F}_{p}\right) $