A Course on Group Theory - Brossura

Rose, John S.

Brossura

ISBN 10: 0486681947 ISBN 13: 9780486681948

Casa editrice: Dover Pubns, 2003

Riassunto

This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications.
Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.

Su questo libro

L'autore:

The late John S. Rose was Senior Lecturer in Pure Mathematics at England's University of Newcastle upon Tyne.

Contenuti:

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

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2003
• ISBN 10: 0486681947
• ISBN 13: 9780486681948
• Rilegatura: Copertina flessibile
• Numero di pagine: 310