Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.
Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.
The late John S. Rose was Senior Lecturer in Pure Mathematics at England's University of Newcastle upon Tyne.
Inhaltsangabe
Preface 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
Preface 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
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