The Structure of Groups of Prime Power Order by Cr Leedham-Green

The Structure of Groups of Prime Power Order by Cr Leedham-Green

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Résumé

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.

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The Structure of Groups of Prime Power Order by Cr Leedham-Green

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.
.. 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. * Zentralblatt MATH *
Sian Moore is Professor of Work and Employment Relations at the Centre for Employment Studies Research (CESR), Bristol Business School, the University of West of England, UK.
Sonia Mckay is Professor of European Socio-Legal Studies at the Working Lives Research Institute, London Metropolitan University, UK.
Sarah Veale is Head of the Equality and Employment Rights Department at the Trade Union Congress, UK.
SKU Non disponible
ISBN 13 9780198535485
ISBN 10 0198535481
Titre The Structure of Groups of Prime Power Order
Auteur Cr Leedham-Green
Série London Mathematical Society Monographs
État Non disponible
Éditeur Oxford University Press
Année de publication 2002-07-18
Nombre de pages 346
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible