# Groups: Motion, symmetry and puzzles

- Institution: IISER Mohali
- Department: Mathematics
- Teacher: Prof. Amit Kulshrestha
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111106114)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111106114)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Permutation, symmetry and groups](https://invisiblenetwork.ai/learn/nptel/111106114/7e83d101ca0e) (Video)
2. [Groups acting on a set / an object](https://invisiblenetwork.ai/learn/nptel/111106114/7c7116d6f64d) (Video)
3. [More on group actions](https://invisiblenetwork.ai/learn/nptel/111106114/021faff37898) (Video)
4. [Groups and parity](https://invisiblenetwork.ai/learn/nptel/111106114/e1aff51452d8) (Video)
5. [Parity and puzzles](https://invisiblenetwork.ai/learn/nptel/111106114/7afdd51c1e32) (Video)
6. [Generators and relations](https://invisiblenetwork.ai/learn/nptel/111106114/d1e49de88c21) (Video)
7. [Cosets, quotients and homomorphisms](https://invisiblenetwork.ai/learn/nptel/111106114/639169f4663a) (Video)
8. [Cayley graphs of groups](https://invisiblenetwork.ai/learn/nptel/111106114/f546c093deb1) (Video)
9. [Platonic solids](https://invisiblenetwork.ai/learn/nptel/111106114/e8aa4dee6532) (Video)
10. [Symmetries of plane and wallpapers](https://invisiblenetwork.ai/learn/nptel/111106114/f8f1ab5a48ce) (Video)
11. [Introduction to GAP](https://invisiblenetwork.ai/learn/nptel/111106114/9553b8d36215) (Video)
12. [GAP through Rubik's cube](https://invisiblenetwork.ai/learn/nptel/111106114/3434b9067fda) (Video)
13. [Representing abstract groups](https://invisiblenetwork.ai/learn/nptel/111106114/97f9f55b1897) (Video)
14. ["A quick introduction to group representations"](https://invisiblenetwork.ai/learn/nptel/111106114/a40fc28cb02c) (Video)
15. [Rotations and quaternions](https://invisiblenetwork.ai/learn/nptel/111106114/8f5a02d73ded) (Video)
16. [Rotational symmetries of platonic solids](https://invisiblenetwork.ai/learn/nptel/111106114/64c5f9e8a8c6) (Video)
17. [Finite subgroups of SO(3)](https://invisiblenetwork.ai/learn/nptel/111106114/4c87e967eb37) (Video)