Description

Book Synopsis
This work summarises the development of a classification system of finite p-groups. The authors provide a careful summary and explanation of the many and difficult original research papers on the co-class conjecture and the structure theorem, thus elucidating the background research for those new to the area as well as for experienced researchers.

Trade Review
... there is considerable new material in this book ... The book is beautifully produced - a pleasure to the eyes, as well as to the mind, to read. * Zentralblatt MATH *

Table of Contents
1. Preliminaries ; 2. New groups from old ; 3. p-groups of maximal class ; 4. Finite p-groups acting uniserially ; 5. Lie Methods ; 6. The proof of Conjecture A ; 7. Pro-p-groups ; 8. Constructing finite p-groups ; 9. Homological algebra ; 10. Uniserial p-adic space groups ; 11. The structure of finite p-groups ; 12. Beyond coclass ; Bibliography ; Symbol index ; index

The Structure of Groups of Prime Power Order 27 London Mathematical Society Monographs

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    A Hardback by C.R. Leedham-Green, S. McKay

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      Book details

      Publisher Clarendon Press
      Published 7/18/2002 12:00:00 AM
      ISBN-13 9780198535485
      978-0198535485
      ISBN-10 0198535481
      Also in:
      Mathematics Algebra

      Description

      Book Synopsis
      This work summarises the development of a classification system of finite p-groups. The authors provide a careful summary and explanation of the many and difficult original research papers on the co-class conjecture and the structure theorem, thus elucidating the background research for those new to the area as well as for experienced researchers.

      Trade Review
      ... there is considerable new material in this book ... The book is beautifully produced - a pleasure to the eyes, as well as to the mind, to read. * Zentralblatt MATH *

      Table of Contents
      1. Preliminaries ; 2. New groups from old ; 3. p-groups of maximal class ; 4. Finite p-groups acting uniserially ; 5. Lie Methods ; 6. The proof of Conjecture A ; 7. Pro-p-groups ; 8. Constructing finite p-groups ; 9. Homological algebra ; 10. Uniserial p-adic space groups ; 11. The structure of finite p-groups ; 12. Beyond coclass ; Bibliography ; Symbol index ; index

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