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Topics in Algebra
The focus of this course is Galois theory, which provides a beautiful connection between field theory and group theory. It can be used to reduce certain problems about fields to group theory which is, in some sense, simpler and better understood.Topics in the theory of finite groups will be covered as needed. Goals of the course include proofs of the Abel-Ruini Theorem (concerning insolubility of a general quintic equation by radicals) and the Fundamental Theorem of Algebra. Useful prerequisites are MATH240 or MATH321, and ideally both.
Familiarity with basic concepts from group theory and Galois theory;developed problem solving skills both as part of a team and as an individual;developed written and oral communication skills, emphasising the ability to explain what themathematics means.
Subject to approval of the Head of School.
Felipe Voloch
Brendan Creutz
Homework 45%Final Examination 40%Presentation 15%
School of Mathematics and Statistics Postgraduate Handbook General information for students Library portal
Domestic fee $989.00
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 .