University of Technology Sydney

35003 Modern Algebra

There are course requisites for this subject. See access conditions.


This subject enables students to think abstractly and work confidently with concepts underpinning much of modern mathematics and computer science. Abstract concepts such as groups, rings and fields will be introduced via inspiring, non-trivial applications and examples which give real-world motivation. Topics include factoring algorithms for integers, quadratic residues, permutations, normal subgroups and simple groups, finite fields, principal ideal domains and unique factorization domains, factoring algorithms for polynomials; applications to modern (post-quantum) cryptography.

Detailed subject description.

Access conditions

Note: The requisite information presented in this subject description covers only academic requisites. Full details of all enforced rules, covering both academic and admission requisites, are available at access conditions and My Student Admin.