On this page, lecture notes and examples sheets for the Clarkson Institute Summer School course on Group Theory will appear.
Group Theory Lectures
Course theme music: Symmetry, by Klangkarussell
In 2026, one half of the Clarkson Institute Summer School at Lucy Cavendish College will be based on group theory, a foundational area of modern pure mathematics.
The lecture notes for the course are available here.
The examples sheets for the courses are available here:
1. Groups: definitions, examples, and isomorphism
2. Basic properties of group elements
3. Subgroup theory
4. Product groups
5. Conjugacy and normality
6. Maps between groups
7. Permutation groups
8. Permutation representations and linear representations
9. Reducibility to direct sums