Lecture schedule for Math 4GR3

Here is a rough outline of the material we intend to cover; all lectures will be recorded and posted on the course Avenue page.

1. Week 1, Jan. 6 - 10, some review of group theory, free abelian groups, fundamental theorem of finite abelian groups, solvable groups - Chapter 13, Judson
2. Week 2, Jan. 13 - 17, continuation of work on abelian groups
3. Week 3, Jan. 20 - 24,  group actions, class equation - Chapter 14, Judson
4. Week 4, Jan. 27 - 31, cont'd, Chapter 14
5. Week 5, Feb. 3 - 7,  Sylow theorems and applications, Chapter 15
6. Week 6, Feb. 10 - 14, cont'd, Chapter 15 - midterm test, Feb. 13
7. Week 7, Feb. 24 - 28; some review of rings and fields, Chapter 16 - 17
8. Week 8, Mar. 2 - 6, integral domains, factorization, Chapter 18
9. Week 9, Mar. 9 - 13, principal ideal domains, Noetherian rings
10. Week 10, Mar. 16 - 20, polynomials in many variables, Hilbert Nullstellensatz 
11. Week 11, Mar. 23 - 27, finite fields, presentations begin
12. Week 12, Mar. 30 - Apr. 8, more class presentations