Sinossi
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 from which the philosophy that lead to this classification developed. 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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
... 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)
Contenuti
- 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
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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The Structure of Groups of Prime Power Order (Hardcover)
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Oxford University Press, Oxford, 2002
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Hardcover. Condizione: new. Hardcover. 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 from which the philosophy that lead to this classification developed. 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 experiencedresearchers. The classification philosophy has lead to many new and challenging problems. Amongst those considered are problems about pro-p-groups, the Grigorchuk group, theNottingham 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. A monograph summarising the development of a classification system for finite p-groups. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780198535485
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Condizione: New. 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. Series: London Mathematical Society Monographs. Num Pages: 346 pages, indexes. BIC Classification: PBF; PBG. Category: (P) Professional & Vocational. Dimension: 242 x 162 x 23. Weight in Grams: 610. . 2002. hardcover. . . . . Codice articolo V9780198535485
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