Title
The Structure of Groups of Prime Power Order,New
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The coclass project (19801994) provided a new and powerful way to classify finite pgroups. 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 propgroups, the Grigorchuk group, the Nottingham group as well as linear propgroups. 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 longawaited survey of the recent and current research on the structure of finite pgroups will be an important reference for all group theorists.
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