The subgroup of upper triangular matrices of $GL_n(F)$ is equal to its normalizer
105610
Normalizer of upper triangular group in ${\rm GL}(n,F)$
12589
Show that every subgroup of the quaternion group Q is a normal subgroup of Q
58925
Order of general linear group of $2 \times 2$ matrices over $\mathbb{Z}_3$
51747
Showing that the intersection of all subgroups of order $n$ is normal
105322
Computing the quotient of SL(2,Z) by its commutator subgroup
144531
How to prove that a nilpotent operator has a basis representation that is strictly upper triangular?
145339
Index of the subgroup $\operatorname{Im}(f)$
74411
Normalizer of Unipotent subgroup in General Linear group
46917
How to prove that $GL(n,\mathbb R)$ is not connected subset and open subset of$M_n (\mathbb{R})$
91085
how to find $|GL_2(F_p)|$
115204
Show that SO(n) is a normal subgroup of O(n)
105666
What's an easy way to show that $GL(n,\mathbb C)$ is connected?
78580
Is $SL_n(\mathbb{R})$ a normal subgroup in $GL_n(\mathbb{R})$?
44165
the image of normal subgroups
114987
How many connected components does $\mathrm{GL}_n(\mathbb R)$ have?
130937
Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
118117
Conjugacy Class in a matrix group with columns of standard basis