GROUP THEORY

Course Code

MX 3020

Credit Points

15

Course Coordinator

Dr W Turner

Pre-requisites

MA 2004 and MA 2506

Overview

• Group axioms, subgroups, examples of groups.


• Cosets of a subgroup
• Lagrange's Theorem.


• Homomorphisms, isomorphisms, normal subgroups, quotient groups.


• Calculations in symmetric and alternating groups.


• Group actions.


• Sylow's Theorems.

Structure

2 one-hour lectures per week and 1 one-hour tutorial per week.

Assessment

1st Attempt: 1 two-hour written examination (80%); in-course assessment (20%).

Resit: 1 two-hour examination (maximum of 100% resit and 80% resit with 20% in-course assessment).
Only the marks obtained on first sitting can be used for Honours classification.

Formative Assessment

Informal assessment of weekly homework through discussions in tutorials.

Feedback

In-course assignments will normally be marked within one week and feedback provided to students in tutorials.

Students will be invited to contact Course Coordinators for feedback on the final examination.