PMH6 Group Theory
General Information
This page relates to the Pure Mathematics Honours course "Group Theory".
The lecturer for this course is Scott Murray.
For general information on honours in the School of Mathematics and Statistics, refer to the relevant honours handbook.
Resources
Lectures 2 and 3: Isomorphism theorems and group actions
Lecture 4: Sylows Theorems and general linear groups
Lecture 5: Important subgroups of GL. Correction: in exercise 2, we need q>2.
Assignment 1. (This is the corrected version. The original is here.)
Lectures 5 and 7: Marking scheme, parabolic subgroups and normal structure of GL
Lecture 8: Soluble and nilpotent groups
Lectures 9-11: Geometric algebra
Lecture 12: Witt Extension Theorem
Lectures 13 and 14: Structure of symplectic groups. Includes correction to definition of permutation matrices.
Solution to Assignment 1, Question 5
Lectures 15 and 16: Bruhat decomposition and parabolics in symplectic groups
Lecture 17: Normal structure of symplectic groups
Lectures 17 and 18: Matrix Lie groups and Lie algebras
Timetable