Class Web Page for Math 422/501
Groups and Fields
Fall 2008
Instructor Information
- Lecturer: Patrick Brosnan
- Office: Math 229D
- Office Hours: By appointment
- Email: (my last name)@math.ubc.ca
- Phone: (604) 827-3032
Course Information
Notes and references
I will not require a text. However, the notes by Milne listed below
are the closest to what I am planning to cover in class. Here is a list
of references.
Midterms
There will be one midterm held in class.
Problem Sets
There will be five problem sets that you will be required to turn in
for a grade.
Grade Percentages
Final grades will be computed as follows:
| Final: | 50% |
|---|
| Midterm: | 30% |
|---|
| Homework: | 20% |
|---|
Course Outline
The course will cover groups, rings and Galois theory in that order.
Here is a more detailed list of topics
- Groups and group actions
- Sylow theorems
- Simple groups
- Categories
- Rings and fields
- Field extensions
- Galois theory
- Solvability and insolvability of field extensions
Interesting Links