A field with finitely many elements
3703
Order of finite fields is $p^n$
120215
Sum of elements of a finite field
106737
A problem on field extension
73652
Exhibiting an isomorphism between two finite fields
120344
Are there nontrivial vector spaces with finitely many elements?
126127
A field extension of prime degree
35286
number of differents vector space structures over the same field $\mathbb{F}$ on an abelian group
111444
Is any finite-dimensional extension of a field, say $F$, algebraic and finitely generated?
60212
algebraic element over a field
143615
Can you construct a field with 4 elements?
16147
Generic Element of Compositum of Two Fields
157585
Structure theorem of finite rings
142356
Combinations of fields to be unique
21079
Why must a field whose a group of units is cyclic be finite?
29626
Is there a proper subfield $K\subset \mathbb R$ such that $[\mathbb R:K]$ is finite?
145140
Subfield of $\mathbb{Q}(\sqrt[n]{a})$
58490
Polynomials, finite fields and cardinality/dimension considerations