Profinite Groups

Hardcover | September 1, 1998

byJohn S. Wilson

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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 arepresented 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 variousaspects 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.

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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 arepresented in an accessible form. The book would pro...

John S. Wilson is at University of Birmingham.

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Format:HardcoverPublished:September 1, 1998Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198500823

ISBN - 13:9780198500827

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Table of Contents

0. Topological preliminaries1. Profinite groups and completions2. Sylow theory3. Galois theory4. Finitely generated groups and countably based groups5. Free groups and projective groups6. Modules, extensions, and duality7. Modules for completed group algebras8. Profinite groups of finite rank9. Cohomology of profinite groups10. Further cohomological methods11. Groups of finite cohomological dimension12. Finitely presented pro-p groups

Editorial Reviews

'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