How to prove that for every finite field its cardinality is $p^n$?
3703
Order of finite fields is $p^n$
20085
What's the cardinality of all sequences with coefficients in an infinite set?
46795
Explicit construction of a finite field with $p^n$ elements
93964
Proving that $f$ is a bijection from $N$x$N$ to $N$.
86421
Proof of the definition of cardinal exponentiation
132133
Number of elements of a finite field
78190
How to prove that for all natural numbers, $4^n > n^3$?
24403
Prove that $ n < 2^{n}$ for all natural numbers $n$.
156006
Cardinality of set containing all infinite subsets of $\mathbb{Q}$
79725
Fields of arbitrary cardinality
129476
The trace map in a finite field.
10760
Why is the product of all units of a finite field equal to $-1$?
156859
Proving that $GF(p^n)$ contains a unique subfield isomorphic to $GF(p^m)$ if and only if $m$ is a divisor of $n$.
151018
Proving that any finite integral domain is a field.
156335
Proving Power Set of $\mathbb N$ is Uncountable
121890
Proof that $ p $ | ${ p^n \choose k } $ for any prime $p$ and $ k < p^n$
109054
Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?