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Zusatztext ... 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 anddifficult 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 areproblems 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, spectralsequences, 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. Zusammenfassung 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. Inhaltsverzeichnis 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 ...
