Normalizer of UNIPOTENT Group in the General Linear Group
74411
Normalizer of Unipotent subgroup in General Linear group
33945
Showing that $|N \cap Z(G)| > 1$ for normal subgroups of p-groups
123610
How to show that the commutator subgroup is a normal subgroup
21958
Splitting of conjugacy class in alternating group
49666
Generalization of index 2 subgroups are normal
111375
Normality of subgroups and Sylow groups under homomorphisms...
88221
Find the center of the group $\operatorname{GL}(n,\mathbb R)$ of invertible $n \times n$ matrices.
145561
About the additive group and the multiplicative group of a field
109801
multiplicative group of infinite fields
110390
Order of group $GL_{2}\left( \mathbb{F}_{p}\right) $
19720
A normal subgroup intersects the center of the $p$-group nontrivially
63780
to show characteristic subgroup is normal in G
158975
Isomorphism of centers of isomorphic groups
87454
Counterexample for the normalizer being a normal subgroup
34700
Proving that the matrix exponential map is surjective onto the general linear group
3456
Commutator of two normal subgroups with trivial intersections
128896
The special linear group $\text{SL}_n(\mathbb{R})$ is its own commutator