Upon completion of this module, a successful student should:
1. have a good working knowledge of several constructions of fields;
2. be able to compute the Galois group of the splitting field of a polynomial;
3. have a good understanding of the Galois correspondence theorem;
4. be able to use the Galois correspondence to obtain the subfield lattice of a Galois extension from the subgroup lattice of the Galois group of that extension and vice versa;
5. be able to use the discriminant of a polynomial as a tool in the classification of its Galois group;
6. be able to compute the fixed fields of subgroups of the Galois group of a field extension;
7. be able to identity normal field extensions;
8. be familiar with a further topic in algebra that relies on Galois theory

Not applicable to this module.

• Group/class feedback, post-assessment

Not yet recorded.