Not currently available in 2020

Unit description

Extends the concepts introduced in Mathematical Ideas, Calculus and Linear Algebra analysis to Group Theory. Group Theory also develops ring theory and vector spaces. Topics from Group Theory include Cyclic, Abelian and permutation groups, Finite and Infinite groups, Lagrange's theorem as well as ring theory, Euclidean domains and polynomial rings and modules and vector spaces.

Unit content

Group Theory (Topics 1 to 10)

  1. Definitions and examples of groups
  2. Cyclic, Abelian and permutation groups
  3. Finite and Infinite groups
  4. Lagrange's theorem, Abstract group theorems
  5. Cosets and sub-groups
  6. Introduction to rings
  7. Euclidean, principal ideal and unique factorisation domains
  8. Polynomial rings
  9. Introduction to module theory, vector spaces and modules over principal ideal domains
  10. Field theory and Galois theory

Learning outcomes

Unit Learning Outcomes express learning achievement in terms of what a student should know, understand and be able to do on completion of a unit. These outcomes are aligned with the graduate attributes. The unit learning outcomes and graduate attributes are also the basis of evaluating prior learning.

Learning outcomes and graduate attributes

Teaching and assessment


Intensive offerings may or may not be scheduled in every session. Please refer to the timetable for further details.

Southern Cross University employs different teaching methods within units to provide students with the flexibility to choose the mode of learning that best suits them. SCU academics strive to use the latest approaches and, as a result, the learning modes and materials may change. The most current information regarding a unit will be provided to enrolled students at the beginning of the study session.

Fee information


Commonwealth Supported courses
For information regarding Student Contribution Amounts please visit the Student Contribution Amounts.
Commencing 2020 Commonwealth Supported only. Student contribution band: 2

Fee paying courses
For POSTGRADUATE or UNDERGRADUATE full fee paying courses please check Domestic Postgraduate Fees OR Domestic Undergraduate Fees


Please check the international course and fee list to determine the relevant fees.