Uniqueness of finite fields with $p^n$ elements.
136422
Two finite fields with the same number of elements are isomorphic
6855
Subfields of finite fields
111248
The Uniqueness of a Coset of $R[x]/\langle f\rangle$ where $f$ is a Polynomial of Degree $d$ in $R[x]$
146312
Is the set of roots with respect to their values and multiplicies unique for each $g(x)$ in $a_n x^n + g(x)$?
99205
Group of order $p^k q$ where $p$ and $q$ are distinct primes - how to prove this property?
157841
Existence of a non-abelian group of order $p^n$.
23526
Complexity of arithmetic in a finite field?
21363
Prove the uniqueness of an inner product
35222
Characterizing units in polynomial rings
111406
Proving that a definition of e is unique
146591
Inseparable polynomial over a non-perfect field
62615
If F is a finite field, then $F^F=P_F$.
73652
Exhibiting an isomorphism between two finite fields
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
74777
Solvability and reducibility of a polynomial in a "chain" of finite fields
58490
Polynomials, finite fields and cardinality/dimension considerations
103654
A finite field extension that is not simple