Primitive element of the finite field $\mathbb{F}_8$ over $\mathbb{F}_2$
39096
Primitive elements of GF(8)
10548
The equation $-1 = x^2 + y^2$ in finite fields
139499
The algebraic closure of a finite field and its Galois group
6855
Subfields of finite fields
92677
Infinite algebraic extension of a finite field
81354
The product of all the elements of a finite abelian group
122759
Show $2+\alpha$ is a primitive root of $\mathbb{F}_{25}$.
24626
Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.
60212
algebraic element over a field
119052
Finding invertible elements in $\mathbb{Z}/m\mathbb{Z}$
154845
Irreducible elements in  $\mathbb{Z}[\sqrt{-2}]$ and is it a Euclidean domain?
119758
On the order of elements of $\mathrm{GL}(2,q)$.
108385
Irreducible factors of $x^8 - x$ in $Z/2Z[x]$
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
42213
Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
133019
Nilpotent elements in $\mathbb Z_n$
129476
The trace map in a finite field.