finite field (idea)

See all of finite field, there are 2 more in this node.

existence of irreducible polynomials over a prime field	Swap	All finite fields are isomorphic to GF(p^n)	proof that the multiplicative group of a finite field is cyclic
Things invented by the French	field	multiplicative group	Galois Field
Example of an ultraproduct	gf	Fundamental theorem of finite abelian groups	Cyclic Redundancy Check
automorphisms of finite fields	Frobenius endomorphism	Schur's Theorem	Fermat's little theorem
characteristic	splitting field	Proof of Wedderburn's theorem about finite division rings	Gaussian integer
roots of a polynomial	Separable	Cryptography	balanced function