MAT 347: Groups, Rings, and Fields

This is the official website of the course MAT347 at the University of Toronto in the academic year 2015-2016.



Final exam

The final exam will be on April 13, 2:00-5:00 in the St. Vladimir Institute (really). The format of the exam will be similar to the midterms. The exam will cover the material from the whole course, though the emphasis will be on the more recent material. You should review all the proofs from the Galois theory part of the course. It would be a good exercise to try to fill in all the proofs in Alfonso's notes.

Jonathan will hold a review session on Friday April 8, 10:00-12:00 (the last day of classes). At the review session, Jonathan will distribute a list of review problems (we will also post it to the website).

I will have office hours on Monday April 11, 10:00-12:00 and Tuesday April 12, 2:00-5:00.

Jonathan will have office hours on Monday April 11, 4:30-5:30 and Tuesday April 12, 10:00-12:00.

Here are some review problems for the final.

Second midterm

The second midterm will be held on Friday February 5, 10:15-12:00 in BA 2175. The only material from group theory will be finitely generated abelian groups. There will also be all the ring theory material, up to and including irreducibility criteria. So you are responsible for all lecture material and textbook chapters 5.2, 7, 8, 9 (except 9.6).

The format will be similar to the first midterm in terms of True/False, definitions, and some longer answer questions. I suggest that you study by reviewing all the homework problems (including the ones you didn't have to hand in).

First midterm

The first midterm will be held on Friday November 20, 10:15-12:00 in EX 300. It will cover all the material up to and including semidirect products. So you responsible for all material from lectures, textbook chapters 1 - 5 (except 5.2), and 6.3. You are also responsible for homework assignments 1-8.

I suggest that you study by reviewing your notes, reading the textbook, and going over the homework assignments. You might also find it helpful to practice non-assigned questions from the textbook. You should focus your studying on the "core" material from the course: group actions, subgroups, quotient groups, symmetric group.

There will be some true/false questions, some definitions, and longer answer questions. For the true/false questions, you will need to think about groups having certain properties.


I encourage you to attempt the reading assignments before the lectures on that topic start.

I will post every homework assignment here at least one week before it is due. I will not update them without warning less than a week before they are due.

I expect you to do all the problems in the homework set, but only the ones in bold and brackets are to be turned in on the day the homework set is due. Sometimes the not-to-be-handed-in problems will help you solve the to-be-handed-in problems. They are due at the beginning of the class.
I will not accept late assignments.

Most of these worksheets (and this webpage design) were graciously donated by Alfonso Gracia-Saz.

PART 1: Group theory.

PART II: Ring theory.

PART III: Fields and Galois theory.