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The Structure of Groups of Prime Power Order

  • Fester Einband
  • 346 Seiten
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This work summarises the development of a classification system of finite p-groups. The authors provide a careful summary and expl... Weiterlesen
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Beschreibung

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.

... 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.

Klappentext

The coclass project (1980-1994) provided a new and powerful way to classify finite p-groups. This monograph gives a coherent account of the thinking out of which developed the philosophy that lead to this classification. The authors provide a careful summary and explanation of the many and
difficult original research papers on the coclass conjecture and the structure theorem, thus elucidating the background research for those new to the area as well as for experienced researchers. The classification philosophy has lead to many new and challenging problems. Amongst those considered are
problems about pro-p-groups, the Grigorchuk group, the Nottingham group as well as linear pro-p-groups. Throughout the book the authors have used a wide range of algebraic techniques and have developed from first principles, or from basic and well known results, the cohomology of groups, spectral
sequences, and representation theory. This comprehensive and long-awaited survey of the recent and current research on the structure of finite p-groups will be an important reference for all group theorists.



Inhalt

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

Produktinformationen

Titel: The Structure of Groups of Prime Power Order
Autor:
EAN: 9780198535485
ISBN: 978-0-19-853548-5
Format: Fester Einband
Herausgeber: Oxford University Press
Genre: Mathematik
Anzahl Seiten: 346
Gewicht: 610g
Größe: H242mm x B162mm x T24mm
Jahr: 2002

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