Table of Contents

Part 1 What is Symmetry?

Part 2 Symmetries of the square

Part 3 Symmetries of the cube

Part 4 Group Actions

Part 5 The Platonic Solids

Part 6 Conjugacy in Sn and An

Part 7 A linear representation of the symmetry group of the cube

Part 8 The Icosahedral group

Part 9 The Orthogonal groups

Part 10 Groups acting on Groups

Part 11 The Sylow Theorems

Part 12 Actions count!

Part 13 Isometries of the Euclidean Plane

Part 14 Strip Patterns

Part 15 Wallpaper Patterns

Part 16 Point groups and Crystallographic Groups

Part 17 The Plane Affine Group

Part 18 Higher dimensional Affine Groups

Part 19 Linear Groups over other Fields

Part 20 Symmetries of the n-Cube

Assignment 1

Assignment 2

1999 Final Examination and Solutions

2000 Final Examination and Solutions

*Unsolved Problem*

Summary of results

 Last updated 7 May 2000.