How can I construct a field of $p^n$ elements?
47091
How to construct finite fields of any prime power order?
87467
Finding some missing subfields of a splitting field of $x^4-7$
140540
Infinite number of intermediate fields between K(u,v) and K
86626
Finite fields, existence of field of order $p^n$,proof help
82328
Constructing a Galois extension field with Galois group $S_n$
6855
Subfields of finite fields
95692
Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field
18141
Embedding $S_n$ into $A_{n+2}$
26055
Multiplication by $0$ in a field
115129
Constructing an explicit isomorphism between finite extensions of finite fields
42677
Proving $(\alpha + \beta)^{p^n} = \alpha^{p^n} + \beta^{p^n}$ in a finite field
103654
A finite field extension that is not simple
16643
A slick proof that a field which is finitely generated as a ring is finite
154241
What is the easiest way to generate $\mathrm{GL}(n,\mathbb Z)$?
61550
Existence of elements of order $p^k$ in a finite group
39573
Finding Generator of finite field
28402
Number of bases of an n-dimensional vector space over q-element field.