This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters identify important themes and establish the notation used throughout the book, and subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Includes 679 exercises. 1978 edition.
Preface0 Some conventions and some basic facts1 Introduction to finite group theory2 Examples of groups and homomorphisms3 "Normal subgroups, homomorphisms and quotients"4 Group actions on sets5 Finite p-groups and Sylow's theorem6 Groups of even orders7 Series8 Direct products and the structure of finitely generated abelian groups9 Group actions on groups10 Transfer and splitting theorems11 Finite nilpotent and soluble groupsReferencesIndex of notationIndex of subjects
