This is the second semester algebra
course here at Tech. This is a continuation of Math 6121 and we
will assume familiarity with the material in that class. The first half
of this course will focus on Field Theory (and in particular Galois
Theory) and Modules. Once we have finished this basic material we will
the explore various more advanced topics. The exact content will be
decided later and with input from the whole class, but might consist of
representation theory (of finite groups), homological algebra/group
cohomology and possibly topics associated with algebraic
geometry.
Lectures:
Tuesday
and Thursday 9:35 in Skiles 240.
Professor:
John Etnyre
Office: Skiles 163
Phone: 404.385.6760
e-mail: etnyre "at" math .gatech.edu
Grading for the class will be based on homework
assignments. There will be approximately one assignment every two to
four weeks. They will be posted on this website so please check back
frequently. I encourage you
to work on these assignments with other students in the class and to
use whatever other resources you might have, but each problem must be written up
in your own words by you. At some point everyone
needs to learn TeX or LaTeX so I
encourage you to write up your homework using one of these packages,
but this is not a requirement. If you would like help getting started
with TeX or LaTeX you are welcome to talk to me about it.
The textbook for this class is
"Abstract Algebra" (third edition) by Dummit and Foote. If you have an
older edition of the book that is probably OK, the main thing is to
check with me or other students in the class to make sure you are
working the correct homework problems.
Homework
Assignment 1 (due Tuesday Feb 20 in class):
- Section 14.1: 7, 8
- Section 14.2: 5, 11, 28
- Section 14.6: 46, 48
Homework Assignment 2 (due Tuesday March 13 in class):
- Section 14.5: 5
- Section 14.7: 16, 20
- Section 10.2: 4, 9
- Section 10.3: 6, 27
- Section 10.4: 2, 11, 24
Homework Assignment 3 (due Tuesday April 17 in class):
- Section 12.2: 4, 18
- Section 10.5: 28 (a)
- Section 17.1: 8, 19
- Section 17.3: 4
- Section 17.4: 3
Homework Assignment 4:
- Section 18.1: 16
- Section 18.3: 8
- Section 19.1: 1, 11, 14
- Section 19.2: 3
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