Algebra V - Galois theory
Summary
Galois theory lies at the interface of Field Theory and Group Theory. It aims to describe the algebraic symmetries of fields. We will focus on Galois theory for finite field extensions and some applications.
Learning Prerequisites
Required courses
MATH-211
MATH-215
Important concepts to start the course
Groups, ring and fields.
Learning Outcomes
By the end of the course, the student must be able to:
- Quote the main results from the course.
- Apply the results from the course to other problems.
- Prove the main theorems of the course.
Teaching methods
Lectures and exercise classes.
Assessment methods
One final written exam.
Supervision
| Office hours | No |
| Assistants | Yes |
| Forum | Yes |
Resources
Bibliography
James Milne: Galois Theory
Chambert-Loir: A field guide to algebra
Ressources en bibliothèque
Références suggérées par la bibliothèque
Notes/Handbook
Notes will be provided during the course.
Moodle Link
Prerequisite for
MATH-328
MATH-417
MATH-429
MATH-482
MATH-489
MATH-494
MATH-535
In the programs
- Semester: Fall
- Exam form: Written (winter session)
- Subject examined: Algebra V - Galois theory
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
Reference week
| Mo | Tu | We | Th | Fr | |
| 8-9 | |||||
| 9-10 | |||||
| 10-11 | |||||
| 11-12 | |||||
| 12-13 | |||||
| 13-14 | |||||
| 14-15 | |||||
| 15-16 | |||||
| 16-17 | |||||
| 17-18 | |||||
| 18-19 | |||||
| 19-20 | |||||
| 20-21 | |||||
| 21-22 |
Légendes:
Lecture
Exercise, TP
Project, Lab, other