Pries, Fall 2015, 566 Abstract Algebra: Tentative Syllabus
Week
1
2
3
4
5
6
7
8
9
10
11
12
13
Starts
8/24
8/31
9/7
9/14
9/21
9/28
10/5
10/12
10/19
10/26
11/2
11/9
11/16
14
15
11/30
12/7
Topics
C1-C2 Introduction to groups, subgroups
C1-C2 Homomorphisms, Isomorphisms
(Labor Day) C5 Products and semi-direct products
C3 Quotient groups
C4 Group actions
C4 Sylow theorems
C6 Free groups, Midterm
C7, C9 Introduction to ring theory
C8 Ideal theory
C8 Euclidean and principal ideal domains
C8 Unique factorization
Class project
Applications of group theory
Thanksgiving break
C13 Introduction to field theory
Open conjectures
Important dates:
Midterm Friday 10/9
Final Wednesday 12/18 4:10-6:10 pm
Homework 1: due Friday 8/28
Write clearly and skip lines.
Compute: S0.1 4; S1.1: 1(de), 2(de), 6, 12.
Turn-in: S1.1: 8, 9, 20, 22, 29.