NOC:Groups: Motion, Symmetry and Puzzles


Lecture 1 - Permutation, symmetry and groups


Lecture 2 - Groups acting on a set/an object


Lecture 3 - More on group actions


Lecture 4 - Groups and parity


Lecture 5 - Parity and puzzles


Lecture 6 - Generators and relations


Lecture 7 - Cosets, quotients and homomorphisms


Lecture 8 - Cayley graphs of groups


Lecture 9 - Platonic solids


Lecture 10 - Symmetries of plane and wallpapers


Lecture 11 - Introduction to GAP


Lecture 12 - GAP through Rubik's cube


Lecture 13 - Representing abstract groups


Lecture 14 - A quick introduction to group representations


Lecture 15 - Rotations and quaternions


Lecture 16 - Rotational symmetries of platonic solids


Lecture 17 - Finite subgroups of SO(3)