Vorlesungen
This is a first course in 'modern' algebra. We will follow the textbook of Dummit and Foote, Abstract Algebra, third edition. You can find copies online and at the library.
Every week there will be required reading and homework assignments, taken from the textbook, due on My on the next Monday evening.
The deadline is midnight: late submissions will not be accepted. You are encouraged to work on solving the homework problems with other students, and you may submit your solutions as a group; make sure to list all names at the top of the first page. You need to hand in 12 of the homeworks (with exercises mostly correct, or showing an honest attempt at solving them) to be allowed to the final exam, which will take place on Friday, February 6, 2026.
The following syllabus will be updated weekly. Link to the recordings: click here.
| Week | Topics | Reading | Homework |
| 1 | What is 'modern' algebra? Groups: First examples |
Chapters 1.1,1.2,1.3 |
In Chap.1.1: Exercises 1&2,5,6,8,11,20,25,31 |
| 2 | Homomorphisms and isomorphisms, subgroups | Chapters 1.6,2.1,2.3 |
In Chap.1.3: 1,2 |
| 3 | Counting and isomorphism theorems | Chapters 3.1,3.2,3.3 |
Chap.3.1: 3,5,9,10,32 |
| 4 | Simple groups | Chapters 3,3,3.4,3.5 |
Chap.3.1: 14,20; Chap.3.3: 4; Chap.3.4: 2; Chap.3.5: 2,9 |
| 5 | Group actions | Chapters 1.7,4.1 (minus the part on cycle decompositions),4.3,4.5 |
Chap.1.7: 2,3,19; |
| 6 | Sylow theorems, (semi)direct products and classification | 4.5, 5.1, 5.5 |
Chap 4.5: 3,4,7,11; |
Loading Document
Document is being generated. Please wait.