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Group Theory
Groups are fascinating algebraic structures. Two of the most important and, in applications, most useful classes of groups are Lie Groups and finite groups.Lie groups (or `continuous transformation groups') are an essential tool in many areas of mathematics and physics. The most important Lie groups occur as groups of matrices over real or complex numbers, and one is interested in their properties and how these groups can be realized in higher dimensional spaces. Similarly, finite groups have also found their use in many areas of discrete mathematics and also theoretical physics. The same questions as before arise about their structure and how to represent them as groups of matrices. The course will develop some more advanced theory of groups focusing on finite groups and Lie groups and their linear representations. The selected topics form a compromise between a thorough development of the fundamentals and an introduction to advanced results.
Students successfully completing this course should:understand the basic structure and methods of groups.be able to use various techniques to investigate groups.be able to confidently apply groups in mathematical settings.have developed a high level of competence at core algebraic skills.be able to present clear and logical mathematical arguments.
Subject to approval of the Head of School.
Gunter Steinke
Domestic fee $969.00
International Postgraduate fees
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Mathematics and Statistics .