Profinite Groups: 19 - Rilegato

Wilson, John S.

Rilegato

ISBN 10: 0198500823 ISBN 13: 9780198500827

Casa editrice: OUP Oxford, 1998

Riassunto

This 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.

Su questo libro

Recensione

'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

Contenuti

• 0: 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 groups

Dettagli dell?edizione

• Editore: OUP Oxford
• Data di pubblicazione: 1998
• ISBN 10: 0198500823
• ISBN 13: 9780198500827
• Rilegatura: Copertina rigida
• Lingua: Inglese
• Numero di pagine: 296
• Contatto del produttore: non disponibile