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Course11110611417 lectures

Groups: Motion, symmetry and puzzles

Prof. Amit Kulshrestha · IISER Mohali

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Permutation, symmetry and groups Video
  2. Groups acting on a set / an object Video
  3. More on group actions Video
  4. Groups and parity Video

Week 2

  1. Parity and puzzles Video
  2. Generators and relations Video
  3. Cosets, quotients and homomorphisms Video
  4. Cayley graphs of groups Video

Week 3

  1. Platonic solids Video
  2. Symmetries of plane and wallpapers Video
  3. Introduction to GAP Video
  4. GAP through Rubik's cube Video

Week 4

  1. Representing abstract groups Video
  2. "A quick introduction to group representations" Video
  3. Rotations and quaternions Video
  4. Rotational symmetries of platonic solids Video
  5. Finite subgroups of SO(3) Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IISER Mohali
Department
Mathematics
Teacher
Prof. Amit Kulshrestha
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
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
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