Galois theory
4 points * Second semester * Clayton * Prerequisites: MAT2020; and MAP2021 or MAP3031
Classical problems in geometry and algebra. Polynomial rings, irreducible polynomials, field extensions. Degree of an extension and unsolvable construction problems. Automorphisms of field extensions, Galois theory. Unsolvability of the quintic equation.
Assessment
Examinations (1.5 hours): 73% * Assignments: 27%
Prescribed texts
Fraleigh J B A first course in abstract algebra Addison-Wesley