Lecture notes

Here are revision notes (produced last year) which cover everything we use from earlier algebra courses. The first few weeks of lectures will be based on these notes.

• Notes 0: Sylow's proof of his theorem
• Notes 1: Finite abelian groups
• Notes 2: How many groups?
• Notes 3: Proof of the Jordan–Hölder theorem
• Notes 4: More on group actions
• Notes 5: Symmetric and alternating groups
• Notes 6: The linear and projective linear groups
• Notes 7: Semi-direct products
• Notes 8: Extension theory
• Notes 9: Soluble and nilpotent groups

Problems and solutions

• Introductory problem
• Problem sheet 1 and solutions
• Problem sheet 2 and solutions
• Problem sheet 3 and solutions
• Problem sheet 4 and solutions
• Problem sheet 5 and solutions
• Problem sheet 6 and solutions
• Problem sheet 7 and solutions
• Revision problems on the first part of the course

Resources

Last year's exam paper is here.

Links to some Theorems of the Day on group theory can be found here.

Administrative matters

The syllabus and learning outcomes for this course can be found here.

The cover page (including the rubric) for the examination is available for both undergraduate and MSc versions. You are advised to read it now so you won't need to waste time reading it in the examination room.

Peter J. Cameron
16 March 2011