# Course - Groups and Group Actions TT23

> Source: https://ollybritton.com/notes/uni/prelims/tt23/groups/ · Updated: 2025-09-30 · Tags: uni, course

> This course continued on from where things were left in [Course - Groups and Group Actions HT23](https://ollybritton.com/notes/uni/prelims/ht23/groups/) and introduced the idea of a group action and other various results.

![F5FAB4E4-325B-48DD-9FEB-DE7CDAA15002.jpeg](https://ollybritton.com/assets/attachments/img/F5FAB4E4-325B-48DD-9FEB-DE7CDAA15002.jpeg)

- [Course Webpage](https://courses.maths.ox.ac.uk/course/view.php?id=617)
- [Lecture Notes](https://courses.maths.ox.ac.uk/pluginfile.php/25607/mod_resource/content/1/Richard_Earl_lectures.pdf)
- Successor to: [Course - Groups and Group Actions HT23](https://ollybritton.com/notes/uni/prelims/ht23/groups/)
- Other courses this term: [Courses TT23](https://ollybritton.com/notes/uni/prelims/tt23/courses/)

### Notes
- [Notes - Groups TT23, Quotient groups](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/quotient-groups/)
- [Notes - Groups TT23, First isomorphism theorem](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/first-isomorphism-theorem/)
- [Notes - Groups TT23, Cauchy’s theorem](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/cauchys-theorem/)
- [Notes - Groups TT23, Wilson’s theorem](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/wilsons-theorem/)
- [Notes - Groups TT23, Chinese remainder theorem](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/chinese-remainder-theorem/)
- [Notes - Groups TT23, Class equation](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/class-equation/)
- [Notes - Groups TT23, Classifying groups](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/classifying-groups/)
- [Notes - Groups TT23, Group actions](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/group-actions/)
- [Notes - Groups TT23, Orbits and stabilisers](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/orbits-and-stabilisers/)
- [Notes - Groups TT23, Counting orbits](https://ollybritton.com/notes/uni/prelims/tt23/groups/notes/counting-orbits/)

### Problem Sheets
- [Sheet 5](https://courses.maths.ox.ac.uk/pluginfile.php/25612/mod_assign/introattachment/0/Sheet5.pdf)
- [Sheet 6](https://courses.maths.ox.ac.uk/pluginfile.php/25613/mod_assign/introattachment/0/Sheet6.pdf)
- [Sheet 7](https://courses.maths.ox.ac.uk/pluginfile.php/25614/mod_assign/introattachment/0/Sheet7.pdf)
- [Sheet 8](https://courses.maths.ox.ac.uk/pluginfile.php/25615/mod_assign/introattachment/0/Sheet8.pdf)

### Lectures
- [Lecture - Groups TT23, I](https://ollybritton.com/notes/uni/prelims/ht23/groups/lectures/i/)
- [Lecture - Groups TT23, II](https://ollybritton.com/notes/uni/prelims/ht23/groups/lectures/ii/)
- [Lecture - Groups TT23, III](https://ollybritton.com/notes/uni/prelims/ht23/groups/lectures/iii/)
- [Lecture - Groups TT23, IV](https://ollybritton.com/notes/uni/prelims/ht23/groups/lectures/iv/)
- [Lecture - Groups TT23, V](https://ollybritton.com/notes/uni/prelims/ht23/groups/lectures/v/)
- [Lecture - Groups TT23, VI](https://ollybritton.com/notes/uni/prelims/ht23/groups/lectures/vi/)
- [Lecture - Groups TT23, VII](https://ollybritton.com/notes/uni/prelims/ht23/groups/lectures/vii/)
- [Lecture - Groups TT23, VIII](https://ollybritton.com/notes/uni/prelims/ht23/groups/lectures/viii/)

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