SYLLABUS

Mathematics 4140

Abstract Algebra 2

This is a rough guide to the topics we will cover.

Week 1
Review of Groups, Rings, and Fields
Week 4
Extension fields and linear algebra
Week 6
Normal and separable extensions
Week 8
Galois Theory
Week 10
Galois theory continued
Week 12
Group actions on sets
Week 14
Sylow Theory
FINAL
(Final exam schedule)