MATH 402A Autumn, 2010
INSTRUCTOR: Ralph Greenberg, Padelford C-553, 543-7648, , greenber@math.washington.edu
OFFICE HOURS: Monday 11:00 -12:00, Wednesday, 1:00 - 2:00, Friday, 2:00 - 3:00, other times by appointment.
TEXT: Abstract Algebra, 3rd edition, by D.S. Dummit and R.M. Foote
GRADING: The grade will be based on the homework assignments (which
count 30% altogether), the midterm (which counts 30%), and the final (which
counts 40%). The midterm will be on Wednesday, November 3rd. The final
will be on Wednesday, December 15th, 8:30 - 10:20.
Math 402 is an introduction to group theory. We will cover most of chapters 1,2, and 3 in the text. A significant part of the course will be the theoretical side of group theory - various theorems about the properties of groups, either general groups or special types of groups. But another significant part of the course will be studying and getting to know specific groups. Both parts are crucial for gaining an understanding of group theory.
Suggested Problems, Solutions for the suggested problems
PROBLEM SETS: 1, 2, 3, 4, 5,
SOLUTIONS: 1, 2, 3, 4, 5,
Midterm, Solutions for the midterm
Final Exam
HANDOUTS:
Definition and Basic Propositions
Basic Propositions about
Homomorphisms
Propositions about Cyclic Groups
The Left and Right Coset Decompositions
Sample Midterm, Solutions for the Sample Midterm,
Quotient Groups and Homomorphisms; Conjugacy