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Curricular information is subject to change
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
Student Effort Type | Hours |
---|---|
Lectures | 30 |
Tutorial | 6 |
Autonomous Student Learning | 84 |
Total | 120 |
Not applicable to this module.
Description | Timing | Component Scale | % of Final Grade | |||
---|---|---|---|---|---|---|
Class Test: midterm class test | Week 7 | n/a | Standard conversion grade scale 40% | No | 25 |
Yes |
Examination: end of trimester exam | 2 hour End of Trimester Exam | No | Standard conversion grade scale 40% | No | 75 |
No |
Resit In | Terminal Exam |
---|---|
Autumn | Yes - 2 Hour |
• Group/class feedback, post-assessment
Not yet recorded.