Courses & Units

Symmetries, Groups, and Representations KMA368




The unit will cover basic group theory leading towards the theory of the matrix representations. Students will be introduced to the subject through a general discussion of symmetry in the physical and biological sciences, with a view to understanding how the irreducible representations of finite groups can be used to reduce problem complexity. Topics include: symmetry and group theory basics, permutation representations, Cayley's theorem, homomorphism theorem, group actions, orbit-stablizer theorem, linear algebra basics, matrix representations and reducibility, Maschke's Theorem, Schurs Lemmas, and group characters.

The unit is suitable for students interested in applications of algebraic methods, with examples taken from geometry, graph theory, quantum physics, Markov chains, and phylogenetics.


Unit name Symmetries, Groups, and Representations
Unit code KMA368
Credit points 12.5
Faculty/School College of Sciences and Engineering
School of Natural Sciences
Discipline Mathematics

Teaching staff

Dr J Sumner

Level Advanced
Available as student elective? Yes
Breadth Unit? No


Location Study period Attendance options Available to
Hobart Semester 2 On-Campus International Domestic


International students
Domestic students

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Key Dates

Study Period Start date Census date WW date End date
Semester 2 13/7/2020 10/8/2020 31/8/2020 18/10/2020

* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see withdrawal dates explained for more information).

Unit census dates currently displaying for 2020 are indicative and subject to change. Finalised census dates for 2020 will be available from the 1st October 2020.

About Census Dates



Band CSP Student Contribution Full Fee Paying (domestic) Field of Education
2 2020: $1,190.00 2020: $2,402.00 010101

Fees for next year will be published in October. The fees above only apply for the year shown.

Please note: international students should refer to this page to get an indicative course cost.




Mutual Exclusions

You cannot enrol in this unit as well as the following:


Teaching Pattern

3 x 1-hr lectures, 1-hr tutorial per week


3- hr exam (60%), mid-semester test (20%), assignments (20%)

TimetableView the lecture timetable | View the full unit timetable




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