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The Structure of Groups of Prime Power Order.
・ISBN 978-0-19-853548-5 hard GB£ 207.50
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-383-02564-4
| 著者・編者 | Leedham-Green, C.R. / McKay, S., |
|---|---|
| シリーズ | London Mathematical Society Monographs |
| 出版社 | (Oxford University Press, UK) |
| 出版年月 | 2002 |
| ページ数 | 346 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7899＞ |
解説
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.