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Theorems

Theorem

Characteristic of F

Theorem

Degree is Closed under Addition

Theorem

Division Algorithm for Polynomials

Theorem

Division of Polynomials

Theorem

Finite Fields of Same Cardinality = Isomorphic

Theorem

Finite Subgroups are Cyclic

Theorem

Gauss's Formula

Theorem

If an Irreducible Polynomial divides ab then it divides a or b

Theorem

Irreducible Factorization

Theorem

Lagrange Corollary

Theorem

Lagrange Lemma

Theorem

Lagrange Theorem

Theorem

lcm Order Lemma

Theorem

Min poly. dividing poly. of same root

Theorem

Unique Factorization Theorem for Polynomials

Theorem

Uniqueness of GCD

Theorem

Wilson's Theorem