Groups: Motion, symmetry and puzzles

Por: Swayam . en: ,

Week 1 : Introduction and purpose of the course, Action and motion, need of definition of a group, Burnside’s lemma, counting of orbitsWeek 2 : Groups in parity checking, groups and puzzles, Rubik’s group, 15-puzzle group, groups and graphs ,Words on groups, free groupsWeek 3 : Introduction to GAP, revisiting Rubik’s group,Groups and matrices, representations of groups,Linear transformations and groupsWeek 4 : Platonic solids and their symmetry groups,Groups across various branches of mathematics, From Kourovka’s book