Let $|\mathbb F|=q$ where $\mathbb F$ is a field. Then $|GL_n(\mathbb F)|=(q^n-1)(q^n-q)(q^n-q^2)\ldots(q^n-q^{n-1})$.
123847
Cardinality of $GL_n(K)$ when $K$ is finite
46565
Show that $\mathbb{Q}(\sqrt{2})$ is a field.
58009
How to show that $\mathbb Q(\sqrt 2)$ is not field isomorphic to $\mathbb Q(\sqrt 3).$
37677
Radical of $\mathfrak{gl}_n$
113216
No field properly between $\mathbb Q$ and $E$ iff $G(K/\mathbb Q) \cong A_4$ or $S_4$
46917
How to prove that $GL(n,\mathbb R)$ is not connected subset and open subset of$M_n (\mathbb{R})$
112909
is a number field by definition a subfield of $ \mathbb C $?
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
47041
What are the conditions for integers $D_1$ and $D_2$ so that $\mathbb{Q}[\sqrt {D_1}] \simeq \mathbb{Q}[\sqrt {D_2}]$ as fields.
27056
$ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $
108550
Elements of $\mathbb Q(2^{1/3})$
6115
Show that $GL_n(\mathbb{F})$ is a finite group iff $\mathbb{F}$ has a finite number of elements
110390
Order of group $GL_{2}\left( \mathbb{F}_{p}\right) $
134840
Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
42810
Is $(\mathbb{Q},+)$ isomorphic to $(\mathbb{Q}^n,+)$?
78263
Prove $GL_n(\Bbb{R})/SL_n(\Bbb{R}) \cong \Bbb{R}^\times$
103148
Show Galois group of $f(t) = t^5 - 3$ over $\mathbb Q$ is solvable