Syllabus for Math 398: Abstract Algebra

Course Staff

Brendan Murphy,
Office Hours: 2:00-3:00pm Thursdays

Alex Scheffelin,
Office Hours: 3:30-4:30pm Fridays

Winter Quarter

Our textbook this quarter is Algebra: Chapter 0 by Aluffi.
The Category Theory lecture notes can be found here.

Week Subject Sections from Aluffi Problem Set Lecturer(s)
Winter Break Set Theory and Category Theory Chapter 1 Problem Set Andreas (guest lecturer)
Week 1 The definition of a group and examples Sections 2.1 and 2.2 Problem Set Daniel R.
Week 2 Group homomorphisms and the category of groups Sections 2.3 and 2.4 Problem Set Peter & Yunkyu
Week 3 Subgroups, normality, and quotient groups Sections 2.6 and 2.7 Problem Set Max
Week 4 Cannonical decomposition and Lagrange's theorem, presentations and free groups Sections 2.5 and 2.8 Problem Set Jason
Week 5 Group actions, the conjugation action, and the class formula Sections 2.9 and 4.1 Problem Set Chen
Week 6 The Sylow theorems Section 4.2 Problem Set Omar
Week 7 Composition series and solvability Section 4.3 Problem Set Bashir
Week 8 The symmetric group Section 4.4 Problem Set
Week 9 More products of groups, exact sequences of groups, the extension problem Section 4.5 Problem Set
Week 10 The classification of finite abelian groups Section 4.6