Character Degree Divides Group Order Representation Theory The Polynomial Quotient Satisfies the Universal Property Algebra Multiplicity Inequalities Linear Algebra Integrality and Fields Algebra Galois Group of Cyclotomic Extensions Over Q Algebra Linear Independence of Characters (Dedekind) Algebra Multiplicity of Trivial Character Equals Number of Orbits Representation Theory Existence And Uniqueness Of Minimal Polynomial Linear Algebra Algebra Area