Learn · Groups: Motion, symmetry and puzzles
Lecture 4 of 17Week 1
Groups and parity
Prof. Amit Kulshrestha · IISER Mohali
Credits and licence
- From
- Groups: Motion, symmetry and puzzles, IISER Mohali (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
- Who can watch
- Tweens profiles and older. How courses are placed
All the lectures
- Permutation, symmetry and groups
- Groups acting on a set / an object
- More on group actions
- Groups and parity
- Parity and puzzles
- Generators and relations
- Cosets, quotients and homomorphisms
- Cayley graphs of groups
- Platonic solids
- Symmetries of plane and wallpapers
- Introduction to GAP
- GAP through Rubik's cube
- Representing abstract groups
- "A quick introduction to group representations"
- Rotations and quaternions
- Rotational symmetries of platonic solids
- Finite subgroups of SO(3)