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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. An up-to-date treatment of analytic pro-p groups for graduate students and researchers. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 388 pages, 60 exercises. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 22. Weight in Grams: 570. . 2008. 2nd Edition. paperback. . . . . N° de réf. du vendeur V9780521542180
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Etat : New. An up-to-date treatment of analytic pro-p groups for graduate students and researchers. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 388 pages, 60 exercises. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 22. Weight in Grams: 570. . 2008. 2nd Edition. paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9780521542180
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