Course Co-ordinator: Dr J Elmer

Pre-requisite(s): MX 3531

Note(s): This course will run in 2012/13.

• Field Theory, Field Extensions.


• Constructible Numbers.


• The Galois Group of a Field Extension.


• Cyclotomic Fields.


• Splitting Fields of Polynomials.


• Normal Extensions, Separable Extensions.


• Simple Fields Extensions.


• Counting Field Homomorphisms.


• Galois Extensions.


• The Galois Correspondence.


• Cyclic Galois Groups.
• Radical Extensions and Solvable Galois Groups.


• The Galois Group of a Polynomial. Applications.

2 one-hour lectures and 1 one-hour tutorial per week.

1st Attempt: 1 two-hour written examination (80%); in-course assessment (20%).

Resit: If required and permitted by Regulations, there will be 1 two-hour written examination. The CAS mark will be based on the maximum of examination (100%) and examination (80%) together with in-course assessment (20%).

Only the marks obtained on first sitting can be used for Honours classification.