The Structure of Groups of Prime Power Order

by C. R. Leedham-Green, S. McKay

Overview

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.

Product Details

ISBN-13:	9780198535485
Publisher:	Oxford University Press
Publication date:	09/26/2002
Series:	London Mathematical Society Monographs , #27
Edition description:	New Edition
Pages:	346
Product dimensions:	9.48(w) x 6.62(h) x 0.94(d)

About the Author

both at Queen Mary, University of London

Table of Contents

1. Preliminaries2. New groups from old3. P-groups of maximal class4. Finite p-groups acting uniserially5. Lie Methods6. The proof of Conjecture A7. Pro-p-groups8. Constructing finite p-groups9. Homological algebra10. Uniserial p-adic space groups11. The structure of finite p-groups12. Beyond coclassBibliographySymbol indexIndex

Editorial Reviews

"This book is beautifully produced—a pleasure to the eyes as well as the mind."—Mathematical Reviews

From the Publisher