Math 4720 & 5210 (Section 101) Homepage
News & Announcements
05/08 Final grades are posted on AsULearn. If you'd like to get your final homework/paper
back from me, just let me know and we can arrange a time to meet.
Also, I typed up an "answer key" for problem #3 from homework #4 (the problem where
you're asked whether certain cosets are zero, a zero divisor, or a unit in a quotient
of a polynomial ring): Homework #4 Problem #3 in Maple
04/26 Homework #5 is due before final presentations.
Turn in at least 2 problems from the following list:
Section: Problem(s):
10.1 #8 and #15
10.2 #8 and #9
10.3 #9, #10, and #11
04/14 The previous Test #2 from Math 4720 (Fall 2010) is posted here.
[The first part of the test was given "in class". The last page has "take home" problems.
Beware, #8 part (a) involves a group ring (skip it), #8 part (e) is a bit off topic but you
could probably work through it with what we've covered, and #8 part (d) uses a theorem I
forgot to discuss, but plan to on Tuesday.]
Old Rutgers Ring Theory Exams (with Answer Keys):
Exam #1 and answer key.
Exam #2 and answer key.
[These exams make for good review material. However, beware that we covered some material not
covered in these exams and their definitions of "ring" and Euclidean domain" are slight variants.]
Some more Rutgers review materials:
Dr. Lyons' Review 2 (Richard Lyons discovered the Lyons sporadic simple group)
Dr. Cherlin's Review 1
Dr. Cherlin's Review 2
04/03 Homework #4 is due Thursday, April 12th.
03/22 Homework #3 is due Thursday, March 29th. Please turn in
Section: Problem(s):
7.1 (pages 230-231) #2 and #7
7.3 (page 247-249) #2, #7, and #19
7.4 (pages 256-257) #8 and #15
In addition, for 5210 students, turn in 7.2 (page 238) #4.
03/01 Ring Definitions
Ring Examples
02/28 Test #1 is due Tuesday, March 6th by 3pm.
You are to work on your exam alone. Do not discuss the problems with classmates, faculty,
or any other person. However, you may consult the voices in your head or ask your dog (if
you have a talking dog). You may consult books, notes, and pre-existing internet
resources. You may not post questions about the test online. However, if a question is
already answered, that's fair game.
02/23 Some old tests...
Fall 2010's Take Home Test #1
Honors Abstract Algebra exams from Rutgers:
Exam #1 (.pdf) and its Answer Key (.pdf)
Exam #2 (.pdf) and its Answer Key (.pdf)
02/15 The test has been moved back to Tuesday, February 28th.
02/10 Homework #2 is due Thursday, February 16th. Please turn in
Section: Problem(s):
1.6 (page 40) #17
1.7 (page 44) #8
2.1 (page 48) #11
2.2 (page 52) #7
2.4 (page 65) #14
2.5 (pages 71-72) #8 and #19
3.1 (page 85) #1
3.2 (page 95) #4.
In addition, for 5210 students, turn in 3.2 (page 96) #18
02/09 D8's subgroups as stabilizers
The quotients of the alternating group A4: Quotients of A_4.
In case you've never watched it...
A Finite Simple Group of Order 2
by the Klein Four Group.
[The Klein 4-group is any non-abelian group of order 4.
So for example, Z2+Z2.]
01/30 Homework #1 is due Tuesday, February 7th. Please turn in
Section: Problem(s):
0.2 (page 8) #11
0.3 (page 12) #15(a) and #15(d)
1.1 (page 22) #12 and #22
1.2 (pages 27-28) #1(c) and #6
1.3 (page 33) #12 and #19
1.4 (page 35) #2 and #3
6.3 (page 220) #5
In addition, for 5210 students, turn in 1.3 #16 and part of 6.3 #1.
Just show that equal rank implies free groups are isomorphic. I'll
leave the other direction (isomorphic implies equal rank) as a
challenge problem. [Be warned. It's not easy and we haven't discussed
everything necessary to handle that direction.]
01/23 Handout: The alternating groups on 5 or more characters are simple.
01/11 Course Data
MAT 4720 & 5210 Section 101
Title ABSTRACT ALGEBRA
Meeting Times TuTh 11:00am-12:15pm
Room WA 314
Final Exam Tuesday, May 8th 9:00am-11:30am
Syllabus, suggested homework and schedule pages
will be posted...
Any questions about this class?
Send me an email at cookwj@appstate.edu