Can we find element of order $q^2-1$ in $\text{GL}_2(\mathbb{F}_q)$?
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
27865
What is the number of invertible $n\times n$ matrices in $\operatorname{GL}_n(F)$?
124230
What is $\operatorname{Hom}_\mathbb{Z}(\mathbb{Q}/\mathbb{Z},\mathbb{Q}/\mathbb{Z})$?
118898
Is there a simple way of proving that $\text{GL}_n(R) \not\cong \text{GL}_m(R)$?
131946
Order of an Element Under a Homomorphism
37351
Group of Order $p^2$ Isomorphic to $\mathbb{Z}_{p^2}$ or $\mathbb{Z}_{p}$ $\times$ $\mathbb{Z}_{p}$
96123
Element of maximal order in alternating group $A_{10}$: how to prove this is it?
95299
What can you say about $f$ and $g$ in the case that $fg$ is 1) Injective, 2) Surjective - Cohn - Classic Algebra Page 15
1914
General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$
91085
how to find $|GL_2(F_p)|$
134872
Generators of $\text{GL}_{2}(\mathbb{Z})$ group, good reference book?
154241
What is the easiest way to generate $\mathrm{GL}(n,\mathbb Z)$?
144582
Index of a subgroup in $SL_2(\mathbb{Z})$
98474
Show the existence of a certain subgroup of F2
8602
Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
104056
Finding element in binary representation of $GF(2^6)$