# Book:John S. Rose/A Course on Group Theory

## John S. Rose: *A Course on Group Theory*

Published $1978$, **Dover Publications**

- ISBN 0-486-68194-7.

### Subject Matter

### Contents

*Preface*(Newcastle upon Tyne, 26 May 1976)

- 0 Some conventions and some basic facts

- 1 Introduction to finite group theory

- 2 Examples of groups and homomorphisms

- 3 Normal subgroups, homomorphisms and quotients

- 4 Group actions on sets

- 5 Finite $p$-groups and Sylow's theorem

- 6 Groups of even orders

- 7 Series

- 8 Direct products and the structure of finitely generated abelian groups

- 9 Group actions on groups

- 10 Transfer and splitting theorems

- 11 Finite nilpotent and soluble groups

*References**Index of notation**Index of subjects*