The Structure of Groups of Prime Power Order

C.R. Leedham-Green, S. McKay

ISBN 10: 0198535481 / ISBN 13: 9780198535485

Published by Oxford University Press, GB, 2002

About this Item

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.

Seller Inventory # LU-9780198535485

Bibliographic Details

• Title: The Structure of Groups of Prime Power Order
• Publisher: Oxford University Press, GB
• Publication Date: 2002
• Language: English
• ISBN 10: 0198535481
• ISBN 13: 9780198535485
• Binding: Hardback
• Condition: New
• Weight: 610 grams

About this title

Synopsis

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 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.

About the Author

C.R. Leedham-Green is a Professor of Pure Mathematics, Queen Mary, University of London. S. McKay is a Lecturer, School of Mathematical Sciences, Queen Mary, University of London.