C. R. Leedham-Green
Publisher: Clarendon Press; 1 edition (July 15, 2002)
Format: PDF / Kindle / ePub
Size: 9.8 MB
Downloadable formats: PDF
The coclass venture (1980-1994) supplied a brand new and strong method to classify finite p-groups. This monograph provides a coherent account of the pondering out of which constructed the philosophy that bring about this class. The authors offer a cautious precis and rationalization of the numerous and hard unique examine papers at the coclass conjecture and the constitution theorem, therefore elucidating the historical past examine for these new to the realm in addition to for knowledgeable researchers. The class philosophy has result in many new and demanding difficulties. among these thought of are difficulties approximately pro-p-groups, the Grigorchuk crew, the Nottingham staff in addition to linear pro-p-groups. in the course of the ebook the authors have used quite a lot of algebraic strategies and feature constructed from first rules, or from easy and renowned effects, the cohomology of teams, spectral sequences, and illustration idea. This accomplished and long-awaited survey of the new and present examine at the constitution of finite p-groups could be a huge reference for all workforce theorists.