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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Analytic Pro-P Groups

Analytic Pro-P Groups

Dixon, J. D.
Du Sautoy, M. P. F.
Mann, A.

Paperback

Series: Cambridge Studies in Advanced Mathematics, Book 61

AlgebraGeneral MathematicsGeometry

ISBN10: 0521542189
ISBN13: 9780521542180
Publisher: Cambridge
Published: Sep 18 2003
Pages: 388
Weight: 1.25
Height: 0.86 Width: 6.00 Depth: 9.00
Language: English
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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