This document will catalog *major* changes to the course notes. Minor typos and other small fixes will not be noted here. If you find an error in the notes (no matter how small), please send me an email. - Jan 06, 2025: Course notes (containing Lecture 1) published online. - Jan 08, 2025: Added Lecture 2 and (prelim version of) Lecture 3. - Jan 10, 2025: Added Lecture 3 (same as prelim version, but cleaned up a little). Also added Problem 2.5. - Jan 13, 2025: Added Lecture 4. Edited Problem 2.5 to make it over C instead of an arbitrary algebraically closed F. (To make it work in that generality, we would need to also assume that char(F) does not divide |G|.) - Jan 13, 2025: Added Remarks 2.6 [group presentations] and 3.15 [internal vs. external direct sums]. - Jan 15, 2025: Added Lecture 5. - Jan 17, 2025: Added Lecture 6. - Jan 20, 2025: Added Lecture 7. - Jan 22, 2025: Added Lecture 8. - Jan 24, 2025: Added Lecture 9. - Jan 25, 2025: Added Problem 8.5. - Jan 27, 2025: Added Lecture 10. - Feb 01, 2025: Added Lectures 11+12. Deleted first paragraph of section 9.1 and turned it into Proposition 9.7 and Remark 9.8. - Feb 03, 2025: Added Lecture 13. - Feb 05, 2025: Added Lecture 14. Moved Problem 12.5 to 14.2. - Feb 15, 2025: Added Lectures 15-17. Moved Problem 14.2 back to 12.5. Added a new Problem 14.2 and a Problem 14.3. Added Problem 13.4. Fixed error in solution to Exercise 6.6 (pointed out by Grace T.). - Mar 01, 2025: Added Lectures 18+19. Added Remark 17.11 [Sym and Alt as quotients]. - Mar 10, 2025: Added Lectures 20-23. - Mar 23, 2025: Added Lectures 24-26. Added Remark 21.4 [annihilators]. Added details to Lemma 23.5. - Mar 29, 2025: Added Lectures 27-28. Re-wrote everything after Example 26.24 up to end of section 26.6. - Apr 04, 2025: Added Lecture 29. Added problems to Lecture 27. - Apr 15, 2025: Added Lectures 30+31.