Ma, Jia-Jun — Xiamen University Malaysia
| Week | Lectures |
|---|---|
| 1 |
L01: Review of Basicslive
PDF HW L02: Group Actions Reviewlive PDF HW |
| 2 |
L03: Cauchy & Sylow Theoremslive
PDF HW L04: Applications of Sylowlive PDF HW |
| 3 |
L05: Free Abelian Groups & the Subgroup Theoremlive
PDF
HW L06: Classification of F.G. Abelian Groups & Applicationslive PDF HW |
| 4 |
L07: Free Groupslive
PDF L08: Subnormal Series, Solvable & Nilpotent Groupslive PDF |
| 5 |
L09: Finite Simple Groups Through Three Exampleslive
PDF L10: Rings, Polynomial Rings, and Polynomial Functionslive PDF |
| 6 |
L11: Review of Part I Quiz 1 L12: Reserve / Q&A coming |
| Week | Lectures |
|---|---|
| 7 |
Assignment 1due L13: Midterm Exam L14: Field Extensions coming |
| Week | Lectures |
|---|---|
| 8 |
L15: Algebraic Extensions coming L16: Finite Fields coming |
| 9 |
L17: Field Automorphisms I coming L18: Field Automorphisms II coming |
| 10 |
L19: Isomorphism Extension coming L20: Separable Extensions I coming |
| 11 |
L21: Separable Extensions II coming L22: Galois Theory I coming |
| 12 |
L23: Galois Theory II Quiz 2 L24: Applications of Galois Theory coming |
| Week | Lectures |
|---|---|
| 13 |
L25: Ring Theory: UFDs, PIDs, Euclidean Domains Assignment 2 due L26: Tutorial coming |
| 14 |
L27: Review coming L28: Reserve / Q&A |
Textbook: Fraleigh, A First Course in Abstract Algebra
Game: Abstract Algebra Game