Analytic pro-p groups

By:

Dixon, J.D. et.al

Contributor(s):

Material type: Book

BookSeries: Cambridge studies in advanced mathematics ; 61Publication details: Cambridge: Cambridge University Press, 2011.Edition: 2nd edDescription: xviii, 368p. : ill. ; pb, 24 cmISBN:

9780521542180

Subject(s):

DDC classification:

512.2 DIX

Summary: 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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Item type	Current library	Collection	Call number	Copy number	Status	Notes	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.2 DIX (Browse shelf(Opens below))	1	Available	Currency: INR; Invoice no.: 120779; Invoice date: 02.03.2021		030061

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Previous	512.2 CUR Pioneers of representation theory : Frobenius, Burnside, Schur, and Brauer	512.2 CVI Group theory: birdtracks, lie's, and exceptional groups	512.2 DIX Permutation groups	512.2 DIX Analytic pro-p groups	512.2 FRE Langlands correspondence for loop groups	512.2 HUM Reflection groups and coxeter groups	512.2 RAM Group theory for physicists: with application	Next

Includes bibliographical and indexes.

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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