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<図書>
Analytic pro-p groups

責任表示 J.D. Dixon ... [et al.]
シリーズ Cambridge studies in advanced mathematics ; 61
データ種別 図書
2nd ed., rev. and enl. / by Marcus du Sautoy & Dan Segal
出版者 Cambridge : Cambridge University Press
出版年 1999
本文言語 英語
大きさ xviii, 368 p. ; 24 cm
概要 The first edition of this book was the indispensable reference for researchers in the theory of pro-p groups. In this second edition the presentation has been improved and important new material has b...en added. The first part of the book is group-theoretic. It develops the theory of pro-p groups of finite rank, starting from first principles and using elementary methods. Part II introduces p-adic analytic groups: by taking advantage of the theory developed in Part I, it is possible to define these, and derive all the main results of p-adic Lie theory, without having to develop any sophisticated analytic machinery. Part III, consisting of new material, takes the theory further. Among those topics discussed are the theory of pro-p groups of finite coclass, the dimension subgroup series, and its associated graded Lie algebra. The final chapter sketches a theory of analytic groups over pro-p rings other than the p-adic integers.
The first edition of this book was the indispensable reference for researchers in the theory of pro-p groups. In this second edition the presentation has been improved and important new material has been added. The first part of the book is group-theoretic. It develops the theory of pro-p groups of finite rank, starting from first principles and using elementary methods. Part II introduces p-adic analytic groups: by taking advantage of the theory developed in Part I, it is possible to define these, and derive all the main results of p-adic Lie theory, without having to develop any sophisticated analytic machinery. Part III, consisting of new material, takes the theory further. Among those topics discussed are the theory of pro-p groups of finite coclass, the dimension subgroup series, and its associated graded Lie algebra. The final chapter sketches a theory of analytic groups over pro-p rings other than the p-adic integers.
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所蔵情報

: hbk 理系図3F 数理独自 023211999005743 DIXO/10/2a 1999

書誌詳細

一般注記 Includes bibliographical references (p. 362-365) and index
著者標目 *Dixon, John D.
Du Sautoy, Marcus
Segal, Dan
件 名 LCSH:Nilpotent groups
LCSH:p-adic groups
分 類 LCC:QA177
DC21:512/.2
書誌ID 1001394554
ISBN 0521650119
NCID BA43188500
巻冊次 : hbk ; ISBN:0521650119
: pbk ; ISBN:0521542189
登録日 2009.11.02
更新日 2017.03.14

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