modules

Drawing on key ideas in the theory of groups and fields, you will learn core elements of the theory of field extensions.  You are already familiar with the idea that the real numbers can be extended to the complex numbers by introducing a new number as the square root of -1; Galois theory formalises such constructions and explores the intriguing relationship between groups and field extensions.

As an important application of Galois Theory, you will understand why there can be no algebraic solution to the general quintic polynomial with rational coefficients.

Prerequisite module: MTH2002 or both MTH2010 (Groups, Rings, and Fields) and MTH2011 (Linear Algebra), or equivalent.

_{Please note that all modules are subject to change, please get in touch if you have any questions about this module.}