GROUPS — PRESENTATIONS AND REPRESENTATIONS

(Other mathematical websites by Dr C.D.H. Cooper www.maths.mq.edu.au/~chris)

Introduction and Table of Contents

http://www.ics.mq.edu.au/~chris/groups/chap00.pdf

Chapter 1: Introduction to Groups

http://www.ics.mq.edu.au/~chris/groups/chap01.pdf

Chapter 2: Permutations

http://www.ics.mq.edu.au/~chris/groups/chap02.pdf

Chapter 3: Examples of Groups

http://www.ics.mq.edu.au/~chris/groups/chap03.pdf

Chapter 4: First Steps in the Theory

http://www.ics.mq.edu.au/~chris/groups/chap04.pdf

Chapter 5: The Todd-Coxeter Algorithm

http://www.ics.mq.edu.au/~chris/groups/chap05.pdf

Chapter 6: A Second Round of Theory

http://www.ics.mq.edu.au/~chris/groups/chap06.pdf

Chapter 7: Representations of Finite Groups

http://www.ics.mq.edu.au/~chris/groups/chap07.pdf

Chapter 8: Groups Acting on Sets

http://www.ics.mq.edu.au/~chris/groups/chap08.pdf

Chapter 9: Free Groups

http://www.ics.mq.edu.au/~chris/groups/chap09.pdf

Chapter 10: Soluble Groups

http://www.ics.mq.edu.au/~chris/groups/chap10.pdf

Chapter 11: Finitely Generated Abelian Groups

http://www.ics.mq.edu.au/~chris/groups/chap11.pdf

Chapter 12: Infinite Abelian Groups

http://www.ics.mq.edu.au/~chris/groups/chap12.pdf

APPENDICES

http://www.ics.mq.edu.au/~chris/groups/appendix.pdf

Appendix A: Groups of Small Order

Appendix B: Character Table Summary

Appendix C: A Group of Order 12

Appendix D: Group Presentations for Groups of Order 16