Subfields of finite fields $\mathbb{F}_{p^n} $
6855
Subfields of finite fields
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
71608
A property of finite field of order $2^n$
78222
Can any monomorphism of a subfield of a splitting field be extended to an automorphism?
7567
Degree of Field Extensions and $F(\alpha)$
132133
Number of elements of a finite field
53701
Unique quadratic subfield of $\mathbb{Q}(\zeta_p)$ is $\mathbb{Q}(\sqrt{p})$ if $p \equiv 1$ $(4)$, and $\mathbb{Q}(\sqrt{-p})$ if $p \equiv 3$ $(4)$
154318
Can a field be isomorphic to its subfield?
29626
Is there a proper subfield $K\subset \mathbb R$ such that $[\mathbb R:K]$ is finite?
75828
Compute Galois group of $\mathbb F_q/\mathbb F_p$
81221
The prime number theorem over a finite field - Lang's *Algebra*, Chapter V, Exercise 23(b)
112556
When is $F(\sqrt c)$ a field?
8494
Proof Check: Number of elements of $\mathbb{F}_{p^{n}}$ of the form $a^{p}-a$ for some $a \in \mathbb{F}_{p^{n}}$.
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
119360
Find all subrings of $\mathbb{Z}^2$
117005
Rules in the ring with coefficients in finite field $\mathbb{F}_p$
81844
How would you show that field automorphisms fix prime subfields?