Math 551 Schedule
Fall 2005
|
The following is a rough outline of the course. This should be
updated as the course progresses. Sections of the book are very rough
guides - we may jump around more, and will sometimes dip into the
previous and next weeks readings. All references are to Hungerford.
| Week |
(date of Monday) |
Topics |
Sections |
Event |
| 1 |
9/5 |
Introduction, basic group theory; |
I, 1-3 |
No class Monday (Labor Day) |
| 2 |
9/12 |
Basic group theory, Category theory |
I, 1-5, 7 |
|
| 3 |
9/19 |
Category theory |
I 7, X 1 |
|
| 4 |
9/26 |
Free groups, relations |
I, 9 |
|
| 5 |
10/3 |
Finitely generated abelian groups, Groups acting on sets |
II 1-2, 4 |
|
| 6 |
10/10 |
Sylow theorems, groups acting on sets, S_n, A_n |
II, 4-5, I 6 |
|
| 7 |
10/19 |
Sylow theorems, other groups |
II, 4-5 |
Midterm Wednesday |
| 8 |
10/24 |
Introduction to rings |
III, 1-2 |
|
| 9 |
10/31 |
Rings, Modules |
III, 3, IV, 1-2 |
|
| 10 |
11/7 |
UFDs, Modules over a PID |
III, 3, IV, 6 |
|
| 11 |
11/14 |
Modules over a PID. |
IV, 6. |
|
| 12 |
11/21 |
Tensor Product |
IV, 5 |
Wednesday class is on Tuesday
(change in designation of classes day)
Happy Thanksgiving! |
| 13 |
11/28 |
Linear algebra (Rational and Jordan canonical forms) |
VII 4,5 |
|
| 14 |
12/5 |
More linear algebra, Algebras |
VII 4,5, IV, 7. |
|
| 15 |
12/12 |
Review |
|
No class Wednesday |
|
|
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