Analytic pro-p groups
John D. Dixon
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Analytic pro-p groups
Published
1999
Publisher
Cambridge University Press
Pages
368
ISBN-10
0521650119
Description
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.
Massey products, nilpotent completions and their application to 4-dimensional topology
Nilpotent groups
The finite irreducible linear 2-groups of degree 4
Nilpotent groups
Lecture Notes on Nilpotent Groups
Harmonic analysis on the Heisenberg nilpotent Lie group, with applications to signal theory
Frequently Asked Questions
How many pages are in Analytic pro-p groups?
This edition of Analytic pro-p groups has approximately 368 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Analytic pro-p groups?
For most readers, Analytic pro-p groups typically takes between 7h 40m and 5h 7m to complete. This is based on the book's length of approximately 92,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 6h 8m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 13 days • Estimated word count: 92,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Analytic pro-p groups?
The estimated word count for Analytic pro-p groups is approximately 92,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Analytic pro-p groups?
Analytic pro-p groups was written by John D. Dixon.
When was Analytic pro-p groups published?
The publication date for this specific edition is 1999. The original work may have been published on a different date.