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OverviewThis is the first book to be dedicated entirely to profinite groups, an area of algebra with important links to number theory and other areas of mathematics. It provides a comprehensive overview of the subject; prerequisite knowledge is kept to a minimum, and several major theorems are presented in an accessible form. The book would provide a valuable introduction for postgraduate students, or form a useful reference for researchers in other areas. The first few chapters lay the foundations and explain the role of profinite groups in number theory. Later chapters explore various aspects of profinite groups in more detail; these contain accessible and lucid accounts of many major theorems. Prerequisites are kept to a minimum with the basic topological theory summarized in an introductory chapter. Full Product DetailsAuthor: John S. Wilson (Mason Professor of Mathematics, Mason Professor of Mathematics, University of Birmingham)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 19 Dimensions: Width: 16.10cm , Height: 2.10cm , Length: 24.20cm Weight: 0.588kg ISBN: 9780198500827ISBN 10: 0198500823 Pages: 296 Publication Date: 01 October 1998 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents0: Topological preliminaries 1: Profinite groups and completions 2: Sylow theory 3: Galois theory 4: Finitely generated groups and countably based groups 5: Free groups and projective groups 6: Modules, extensions, and duality 7: Modules for completed group algebras 8: Profinite groups of finite rank 9: Cohomology of profinite groups 10: Further cohomological methods 11: Groups of finite cohomological dimension 12: Finitely presented pro-p groupsReviews'The treatmentis accessible to graduate students and includes exercises and historical and bibliographical notes' EMS 'book is a welcome addition to the growing literature on profinite groups ... definitely recommended to anybody who wants to learn this fast growing area of groups theory' Mathematical Reviews 'The treatmentis accessible to graduate students and includes exercises and historical and bibliographical notes' EMS 'book is a welcome addition to the growing literature on profinite groups ... definitely recommended to anybody who wants to learn this fast growing area of groups theory' Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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