For $\mathfrak{g}$ semisimple, is $[\mathfrak{g}, \mathfrak{g}] = \mathfrak{g}$.
68001
Semisimple Lie algebras are perfect.
119758
On the order of elements of $\mathrm{GL}(2,q)$.
142612
Matrix Ring of a Semisimple Ring
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
51889
How to "find" this Lie algebra: proof that $\mathfrak{sl}$ is trace zero matrices
28688
why is a simple ring not semisimple?
87882
If $N \lhd G$ is abelian and $G/N$ is abelian then $G$ is abelian
118898
Is there a simple way of proving that $\text{GL}_n(R) \not\cong \text{GL}_m(R)$?
121449
An isomorphism from $GL_{2}(\mathbb{F_{2}})$ to $S_{3}$
30404
Is $\mathbb{Z}/3\otimes \mathbb{Z}[1/2]=\mathbb{Z}/3$?
109596
Isomorphism from $\mathrm{Aut}(\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z})$ to $S_3$
35353
Isomorphic quotient groups $\frac{G}{H} \cong \frac{G}{K}$ imply $H \cong K$?
46687
Elements of $GL_{2}(\mathbb{Z})$ of finite order
41363
when is f@g not the same as f[g]?
151047
a non trivial example: $G/H$ is isomorphic to $G$
62832
What is the Killing form of $\mathfrak{gl}_{m}$?
23037
Computing the order of $\mathrm{SL}_2(\mathbb F_p)$ as the kernel of $\mathrm{GL}_2(\mathbb F_p)$