Each finite field has a primitive element
126590
Why is the multiplicative group of a finite field cyclic?
42677
Proving $(\alpha + \beta)^{p^n} = \alpha^{p^n} + \beta^{p^n}$ in a finite field
92677
Infinite algebraic extension of a finite field
144394
Order 2 elements in finite characteristic field
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
74681
A finite extension with finitely many intermediate fields is simple
83115
A set of elements in a reduced unity ring
64527
Show that an operation of elements in a finite group contains each element exactly once
86626
Finite fields, existence of field of order $p^n$,proof help
151018
Proving that any finite integral domain is a field.
121423
Prove that every element of a finite group has an order
129755
Weighted sum of squares, in a finite field
140550
Irreducible element iff prime norm in Gaussian integers?
124279
$g^k$ is a primitive element modulo $m$ iff $\gcd (k,\varphi(m))=1$
51770
Number of elements in a finite field extension for finite fields
139499
The algebraic closure of a finite field and its Galois group
68275
Primitive Root Theorem Proof