MATH437-19S2 (C) Semester Two 2019

Group Theory

15 points

Details:
Start Date: Monday, 15 July 2019
End Date: Sunday, 10 November 2019
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 26 July 2019
  • Without academic penalty (including no fee refund): Friday, 27 September 2019

Description

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.

Learning Outcomes

  • 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.

Prerequisites

Subject to approval of the Head of School.

Course Coordinator

Gunter Steinke

Indicative Fees

Domestic fee $969.00

* 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 .

All MATH437 Occurrences

  • MATH437-19S2 (C) Semester Two 2019
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