JP Cossey's webpage

Akron Math dept

University of Akron homepage

Math 412/512
Abstract Algebra II
Leigh Hall 311
### The Basics

(Remember to hit refresh/reload when you visit this
web
page.)

Instructor: James (J.P.) Cossey,

234 CAS (Email: cossey
at uakron dot edu)

Office Hours: M 4-5, W 3-4, F 1-2, or by appointment

Tentative course schedule

Course policies

(My schedule)

### Homework

Homework assignments will be posted here.
- Due Wednesday, January 21: Ch 9: 2, 4, 7, 8a, 10, 12, 15, 18,
27, 37, 39, 41, 43

- Due Monday, February 2nd: Chapter 9: 11, 18, 19, 25, 40.
Chapter 8: 4, 6, 8, 9, 15, 21, 23, 24, 39

- Due Monday, February 9th: Ch 11: 6, 7, 8, 9, 10, 15, 16, 19, 26

- Due Wednesday, February 18th: Ch 24: 2, 6, 8 (there are 4 of
them), 11, 39, 47, and problem 31 is a good challenge problem, try using
induction. Also, read the first few pages of Chapter 25, there's no
actual math in it, but some interesting background on simple groups, and
a bizarre poem.

- Due Wednesday, February 25th: Ch 16: 6, 7, 11, 12, 14, 15, 18,
22, 27, 31 (hint: what can we say about x^(p-1) for any x in F_p?), 32,
36

- Due Monday, March 9th: Ch 17: 4, 6, 7, 8, 10, 12, 17, 23, 29, 30
(the proof of the Corollary on page 305 should be useful here), 33 (this
is really just an exercise in notation - there's nothing nonobvious
going on in this problem once you get comfortable with the notation).

- Due Wednesday, March 25th: Ch 19: 5, 7, 13, 14, 18, 19 Ch 20:
2,
4, 8 (don't bother writing out the whole multiplication table, but show
a few non-trivial examples), 9, 10, 13, 23, 25, 29, 30

- Due Wednesday, April 8th: Ch 21: 3, 4, 8, 9, 13 (don't worry
about finding examples), 14, 16, 18, 23, 24.

- Due Wednesday, April 29th: This handout on cyclotomic polynomials and roots of unity,
which is the missing piece in finishing the proof of the
characterization of the constructible regular polygons.

### Exams

Except for the final exam, the following dates are only
*tentative*.
- Exam 1: Wednesday, February 25th.

- Exam 2: Wednesday, April 15th.

- Final Exam: Wednesday, May 6th at 6 PM.

### Announcements

- Monday, January 19th is Martin Luther King day, and we will not be
having class.
- Here's a flier for the topics
in group theory course I will probably be teaching next semester.