MATH3030  Abstract Algebra  2023/24
Announcement
 Course outline [Download file]
 No tutorial in the first week. The first tutorial will be held on Sep 14, 2023 (Thu).
 Please submit your homework solutions via Blackboard. In case you haven't been added to the system yet, please email the lecturer.
 Reminder: The midterm, which will cover materials up to Lecture 4 and HW6, will be held in class on Nov 1, 2023 (Wed).
 The lecture and tutorial on Nov 2, 2023 (Thu) will be replaced by recorded videos; links have been sent to your CUHK emails. The physical lectures will be resumed on Nov 8, 2023 (Wed).
General Information
Lecturer

CHAN Kwok Wai
 Office: LSB 212
 Tel: 3943 7976
 Email:
Teaching Assistant

LAM Chin Hang Eddie
 Office: LSB 222B
 Tel: 3943 7963
 Email:

SHEN Jianhao
 Office: AB1 505
 Tel: 3943 4298
 Email:
Time and Venue
 Lecture: Wed 10:30am  12:15pm at YIA LT4; Thu 2:30pm  3:15pm at LSB LT3
 Tutorial: Thu 3:30pm  4:15pm at LSB LT3
Course Description
This is a second course on Abstract Algebra. In this course, we will discuss more advanced topics in group theory and ring theory which include:
 Normal subgroups; quotient groups
 Free groups; presentations of groups
 Isomorphism theorems; subgroup series
 Group action; Cayley's theorem
 Sylow theorems and their applications
 Prime and maximal ideals
 Factorization in rings
 PIDs and UFDs
We assume as prerequisite a solid understanding of the basic theory of groups and rings, as covered in MATH2070/2078.
Textbooks
 D. Dummit and R. Foote, Abstract Algebra, 3rd edition, John Wiley and Sons.
References
 P. Aluffi, Algebra: Chapter 0, Graduate Studies in Mathematics Vol. 104, American Mathematical Society.
 M. Artin, Algebra, 2nd edition, Prentice Hall.
 J. Fraleigh, A First Course in Abstract Algebra, AddisonWesley, 7th edition
Lecture Notes
 Review of basic group theory
 Lecture 1
 Lecture 2
 Lecture 3
 Lecture 4
 Lecture 5
 Review of basic ring theory
 Lecture 6
 Lecture 7
Tutorial Notes
 Studying guide for group theory
 2223 Tutorials 110
 2223 Tutorials 110 with answer
 Tutorial 2
 Tutorial 2 solutions
 Tutorial 3
 Tutorial 3 solutions
 Tutorial 4 (semidirect products)
 Tutorial 4 solutions
 Tutorial 5
 Tutorial 5 solutions
 Tutorial 6
 Tutorial 6 solutions
 Tutorial 7
 Tutorial 7 solutions
 Tutorial 8 with solution
 Tutorial 9
 Tutorial 9 solutions
 Tutorial 1011
 Tutorial 1011 solutions
Assignments
 HW 1 (due on Sep 14, 2023)
 HW 2 (due on Sep 28, 2023)
 HW 3 (due on Oct 5, 2023)
 HW 4 (due on Oct 12, 2023)
 HW 5 (due on Oct 19, 2023)
 HW 6 (due on Oct 26, 2023)
 HW 7 (due on Nov 9, 2023)
 HW 8 (due on Nov 23, 2023)
 HW 9 (due on Nov 30, 2023)
 HW 10 (due on Dec 4, 2023; this is MONDAY, not Thursday!)
Solutions
 HW1 Solution
 HW2 Solution
 HW3 Solution
 HW4 Solution (ver 231023)
 HW5 Solution (ver 231023)
 Midterm Solution
 HW 6 Solution
 HW 7 Solution
 HW 8 Solution
 HW 9 Solution
 HW 10 Solution
Assessment Scheme
Homework  10%  
Midterm  30%  
Final  60% 
Honesty in Academic Work
The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: December 02, 2023 20:26:13