Download E-books The Structure of Groups of Prime Power Order PDF

By C. R. Leedham-Green

The coclass venture (1980-1994) supplied a brand new and robust method to classify finite p-groups. This monograph offers a coherent account of the considering out of which constructed the philosophy that bring about this type. The authors supply a cautious precis and clarification of the numerous and hard unique study papers at the coclass conjecture and the constitution theorem, therefore elucidating the heritage learn for these new to the realm in addition to for knowledgeable researchers. The type philosophy has result in many new and hard difficulties. among these thought of are difficulties approximately pro-p-groups, the Grigorchuk crew, the Nottingham staff in addition to linear pro-p-groups. during the e-book the authors have used a variety of algebraic options and feature constructed from first ideas, or from simple and popular effects, the cohomology of teams, spectral sequences, and illustration idea. This complete and long-awaited survey of the new and present examine at the constitution of finite p-groups can be an enormous reference for all team theorists.

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