Cover Page; Title Page; Copyright Page; Contents; Preface; 0 Some conventions and some basic facts; 1 Introduction to finite group theory; 2 Examples of group 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; Back Cover.

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