Why is the order of $GL(d,F) = (q^d-1)(q^d-q)...(q^d-q^{d-1})$?
27865
What is the number of invertible $n\times n$ matrices in $\operatorname{GL}_n(F)$?
37677
Radical of $\mathfrak{gl}_n$
157496
Determine the Galois group of $\mathbb{Q}(\sqrt{a+b\sqrt{d}})$
38083
Order of conjugate of an element given the order of its conjugate
118898
Is there a simple way of proving that $\text{GL}_n(R) \not\cong \text{GL}_m(R)$?
125026
When does order of partial derivatives matter?
7967
Prove that the order of the cyclic subgroup $\langle g^k\rangle $ is $n/{\operatorname{gcd}(n,k)}$
73099
Why is $d(x^2)= 2xdx$?
138256
What's the difference between $\mathbb{Q}[\sqrt{-d}]$ and $\mathbb{Q}(\sqrt{-d})$?
140673
how to find the order of an element in a quotient group
29269
fundamental group of $GL^{+}_n(\mathbb{R})$
56607
gcd and order of elements of group
27056
$ gl(2,\mathbb C) \cong sl(2,\mathbb C) \oplus \mathbb C $
33025
What is the order of $(\mathbb{Z} \oplus \mathbb{Z})/ \langle (2,2) \rangle$ and is it cyclic?
122959
How is number of conjugacy class related to the order of a group?
104549
When $d \mid n$, the number of elements of order $d$ in a cyclic subgroup of order $n$ is $\phi (d)$
1914
General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$