Help with a basic question on Finite Field characteristic
42677
Proving $(\alpha + \beta)^{p^n} = \alpha^{p^n} + \beta^{p^n}$ in a finite field
68753
Elements in finite field extensions
74777
Solvability and reducibility of a polynomial in a "chain" of finite fields
46429
Question about proof that $(a + b)^p = a^p+b^p$ in a field of characteristic $p$.
31961
Given fields $M/E/F$, why does $[M:F] = [M:E][E:F]$?
3703
Order of finite fields is $p^n$
4706
Prove $f=x^p-a$ either irreducible or has a root. (arbitrary characteristic) (without using the field norm)
23712
$F$ is a finite field of size $s$. Prove that if $s=2^m$ for some $m>0$, then all elements of F have a square root.
150170
Subrings of fraction fields
142707
Intermediate fields of a finite field extension that is not separable
51770
Number of elements in a finite field extension for finite fields
89271
If $F$ is a field, then $F[x]$ is a principal ideal domain proof question
134840
Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
39573
Finding Generator of finite field
131460
Example of finite field extension where root not separable
57884
Number of monic irreducible polynomials of prime degree $p$ over finite fields
60760
Ring homomorphism and characteristic