New Horizons in pro-p Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Horizons in pro-p Groups write by Marcus du Sautoy. This book was released on 2012-12-06. New Horizons in pro-p Groups available in PDF, EPUB and Kindle. A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
New Horizons in pro-p Groups
New Horizons in pro-p Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Horizons in pro-p Groups write by Marcus du Sautoy. This book was released on 2000-05-25. New Horizons in pro-p Groups available in PDF, EPUB and Kindle. A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Analytic Pro-P Groups
Analytic Pro-P Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic Pro-P Groups write by J. D. Dixon. This book was released on 2003-09-18. Analytic Pro-P Groups available in PDF, EPUB and Kindle. An up-to-date treatment of analytic pro-p groups for graduate students and researchers.
Profinite Groups
Profinite Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Profinite Groups write by Luis Ribes. This book was released on 2013-04-09. Profinite Groups available in PDF, EPUB and Kindle. This self-contained book serves both as an introduction to profinite groups and as a reference for specialists in some areas of the theory. It contains complete and clear proofs for most results, many of which appear here in book form for the first time. Suitable as a basis for courses.
New Directions in Locally Compact Groups
New Directions in Locally Compact Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook New Directions in Locally Compact Groups write by Pierre-Emmanuel Caprace. This book was released on 2018-02-08. New Directions in Locally Compact Groups available in PDF, EPUB and Kindle. This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis' theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger–Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions.
