Free Delivery Over $100
|
|
|||
|
||||
OverviewThis 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. Full Product DetailsAuthor: John S. RosePublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Edition: New edition Dimensions: Width: 14.20cm , Height: 1.50cm , Length: 22.00cm Weight: 0.395kg ISBN: 9780486681948ISBN 10: 0486681947 Pages: 320 Publication Date: 28 March 2003 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents"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"ReviewsAuthor InformationThe late John S. Rose was Senior Lecturer in Pure Mathematics at England's University of Newcastle upon Tyne. Tab Content 6Author Website:Countries AvailableAll regions |
||||
