Automorphisms of fields, separable and normal extensions, splitting fields, fundamental theorem of Galois theory, primitive elements, Lagrange’s theorem. Finite fields and their Galois groups, cyclotomic extensions and polynomials, applications of Galois theory to geometric constructions and solution of algebraic equations. Antirequisite(s): Prerequisite(s): Mathematics 4123A/B, the former Mathematics 308a/b. Corequisite(s): Pre-or Corequisite(s): Extra Information: 3 lecture hours, 0.5 course. back to top