MATH3030 - Abstract Algebra - 2020/21

Announcement

• This page is still under construction. Information may be updated later.
• Zoom Meeting ID: 937 4762 9016, password: course code repeated 1.5 times (6 digits)
• This course will be mainly administered at blackboard.cuhk.edu.hk. Go there for more information.

General Information

Lecturer

• YU Jiu-Kang
  • Office: 411 AB1
  • Tel: 3943-3716
  • Email:

Teaching Assistant

• SHEN Jianhao
  • Office: 407B AB1
  • Tel: 3943-3720
  • Email:
• WONG Siu Fung
  • Office: 407B AB1
  • Tel: 3943-3720
  • Email:

Time and Venue

• Lecture: Wed 14:30-15:15, Thu 12:30-14:15
• Tutorial: Wed 15:30-16:15

Course Description

In this course, we will discuss more advanced topics in group theory and ring theory which include:

- Normal subgroups; quotient groups

- Isomorphism theorems and series of groups

- 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 Math 2070 or Sections 4-10, 13, 18-23 & 26 in our textbook.

Textbooks

• J. Fraleigh, A First Course in Abstract Algebra, 7th edition, Pearson

References

• M. Artin, Algebra, 2nd Edition, Pearson
• P. Alluffi, Algebra: chapter 0
• D. Dummit and R. Foote, Abstract Algebra, 3rd edition, John Wiley and Sons

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:

and thereby help avoid any practice that would not be acceptable.